3967007008 has 24 divisors (see below), whose sum is σ = 8061984000. Its totient is φ = 1919519040.

The previous prime is 3967006999. The next prime is 3967007027. The reversal of 3967007008 is 8007007693.

3967007008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3967007008² = 31474289203042224128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1998508 + ... + 2000491.

It is an arithmetic number, because the mean of its divisors is an integer number (335916000).

Almost surely, 2^3967007008 is an apocalyptic number.

It is an amenable number.

3967007008 is an abundant number, since it is smaller than the sum of its proper divisors (4094976992).

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

3967007008 is a wasteful number, since it uses less digits than its factorization.

3967007008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999040 (or 3999032 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 3967007008 is about 62984.1806170407. The cubic root of 3967007008 is about 1583.0245712044.

The spelling of 3967007008 in words is "three billion, nine hundred sixty-seven million, seven thousand, eight".