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3750012288 = 273411131251
BaseRepresentation
bin1101111110000100…
…1010010110000000
3100200100022100210000
43133201022112000
530140000343123
61420035440000
7161633402301
oct33741122600
910610270700
103750012288
111654869810
12887a56000
13479bb47a9
1427807c7a8
1516e344b43
hexdf84a580

3750012288 has 320 divisors, whose sum is σ = 12316328640. Its totient is φ = 1123200000.

The previous prime is 3750012169. The next prime is 3750012289. The reversal of 3750012288 is 8822100573.

3750012288 is a `hidden beast` number, since 375 + 0 + 0 + 1 + 2 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3750012289) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14940163 + ... + 14940413.

It is an arithmetic number, because the mean of its divisors is an integer number (38488527).

Almost surely, 23750012288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3750012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158164320).

3750012288 is an abundant number, since it is smaller than the sum of its proper divisors (8566316352).

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

3750012288 is a wasteful number, since it uses less digits than its factorization.

3750012288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3750012288 is about 61237.3439005971. The cubic root of 3750012288 is about 1553.6179499383.

The spelling of 3750012288 in words is "three billion, seven hundred fifty million, twelve thousand, two hundred eighty-eight".