3815528952960 has 384 divisors, whose sum is σ = 13446651207600. Its totient is φ = 996599365632.

The previous prime is 3815528952953. The next prime is 3815528952973. The reversal of 3815528952960 is 692598255183.

3815528952960 is a `hidden beast` number, since 3 + 8 + 15 + 528 + 9 + 5 + 2 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1781071746624 + 2034457206336 = 1334568^2 + 1426344^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3815528952960² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187126446 + ... + 187146834.

Almost surely, 2^{3815528952960} is an apocalyptic number.

3815528952960 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 3815528952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723325603800).

3815528952960 is an abundant number, since it is smaller than the sum of its proper divisors (9631122254640).

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

3815528952960 is a wasteful number, since it uses less digits than its factorization.

3815528952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21080 (or 21065 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 3815528952960 in words is "three trillion, eight hundred fifteen billion, five hundred twenty-eight million, nine hundred fifty-two thousand, nine hundred sixty".