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3749045760 = 293252931181
BaseRepresentation
bin1101111101110101…
…1110011000000000
3100200021111020221200
43133131132120000
530134223431020
61420003021200
7161622235365
oct33735363000
910607436850
103749045760
111654269629
1288766a800
13479936895
14277caa46c
1516e203590
hexdf75e600

3749045760 has 480 divisors, whose sum is σ = 13941607680. Its totient is φ = 928972800.

The previous prime is 3749045719. The next prime is 3749045843. The reversal of 3749045760 is 675409473.

3749045760 is a `hidden beast` number, since 3 + 74 + 9 + 0 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×37490457602 = 28110688221147955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20712870 + ... + 20713050.

It is an arithmetic number, because the mean of its divisors is an integer number (29045016).

Almost surely, 23749045760 is an apocalyptic number.

3749045760 is a gapful number since it is divisible by the number (30) 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 3749045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970803840).

3749045760 is an abundant number, since it is smaller than the sum of its proper divisors (10192561920).

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

3749045760 is a wasteful number, since it uses less digits than its factorization.

3749045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3749045760 is about 61229.4517368888. The cubic root of 3749045760 is about 1553.4844619955.

The spelling of 3749045760 in words is "three billion, seven hundred forty-nine million, forty-five thousand, seven hundred sixty".