3960787465152 has 252 divisors, whose sum is σ = 13209984792576. Its totient is φ = 1131347589120.

The previous prime is 3960787465147. The next prime is 3960787465163. The reversal of 3960787465152 is 2515647870693.

3960787465152 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 78 + 7 + 46 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×3960787465152² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3960787465152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117197377 + ... + 117231167.

It is a 1-persistent number, because it is pandigital, but 2⋅3960787465152 = 7921574930304 is not.

Almost surely, 2^{3960787465152} is an apocalyptic number.

3960787465152 is a gapful number since it is divisible by the number (32) 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 3960787465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604992396288).

3960787465152 is an abundant number, since it is smaller than the sum of its proper divisors (9249197327424).

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

3960787465152 is a wasteful number, since it uses less digits than its factorization.

3960787465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37976 (or 37956 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 3960787465152 in words is "three trillion, nine hundred sixty billion, seven hundred eighty-seven million, four hundred sixty-five thousand, one hundred fifty-two".