3730152960 has 240 divisors, whose sum is σ = 13600089360. Its totient is φ = 942243840.

The previous prime is 3730152919. The next prime is 3730152967. The reversal of 3730152960 is 692510373.

3730152960 is a `hidden beast` number, since 3 + 73 + 0 + 1 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3730152960² = 27828082209993523200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (3730152967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433500 + ... + 442020.

It is an arithmetic number, because the mean of its divisors is an integer number (56667039).

Almost surely, 2^3730152960 is an apocalyptic number.

3730152960 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 3730152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800044680).

3730152960 is an abundant number, since it is smaller than the sum of its proper divisors (9869936400).

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

3730152960 is a wasteful number, since it uses less digits than its factorization.

3730152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8569 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3730152960 is about 61074.9781825585. The cubic root of 3730152960 is about 1550.8705425410.

The spelling of 3730152960 in words is "three billion, seven hundred thirty million, one hundred fifty-two thousand, nine hundred sixty".