3967512520 has 64 divisors (see below), whose sum is σ = 9172154880. Its totient is φ = 1543815936.

The previous prime is 3967512511. The next prime is 3967512539. The reversal of 3967512520 is 252157693.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307642 + ... + 320278.

It is an arithmetic number, because the mean of its divisors is an integer number (143314920).

Almost surely, 2^3967512520 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 3967512520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586077440).

3967512520 is an abundant number, since it is smaller than the sum of its proper divisors (5204642360).

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

3967512520 is a wasteful number, since it uses less digits than its factorization.

3967512520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12862 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 3967512520 is about 62988.1934968769. The cubic root of 3967512520 is about 1583.0918094630.

The spelling of 3967512520 in words is "three billion, nine hundred sixty-seven million, five hundred twelve thousand, five hundred twenty".