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3750649344 = 2932131729127
BaseRepresentation
bin1101111110001110…
…0101111000000000
3100200101111201122200
43133203211320000
530140131234334
61420101233200
7161641664511
oct33743457000
910611451580
103750649344
111655164402
12888102800
1347a078750
142781a6a08
1516e41d799
hexdf8e5e00

3750649344 has 480 divisors, whose sum is σ = 12869176320. Its totient is φ = 1040449536.

The previous prime is 3750649339. The next prime is 3750649349. The reversal of 3750649344 is 4439460573.

3750649344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3750649339) and next prime (3750649349).

It is a self number, because there is not a number n which added to its sum of digits gives 3750649344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3750649349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29532609 + ... + 29532735.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 23750649344 is an apocalyptic number.

3750649344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3750649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434588160).

3750649344 is an abundant number, since it is smaller than the sum of its proper divisors (9118526976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3750649344 is a wasteful number, since it uses less digits than its factorization.

3750649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3750649344 is about 61242.5452116419. The cubic root of 3750649344 is about 1553.7059217030.

The spelling of 3750649344 in words is "three billion, seven hundred fifty million, six hundred forty-nine thousand, three hundred forty-four".