3967681536 has 704 divisors, whose sum is σ = 15406540800. Its totient is φ = 979402752.

The previous prime is 3967681519. The next prime is 3967681541. The reversal of 3967681536 is 6351867693.

3967681536 is a `hidden beast` number, since 39 + 6 + 76 + 8 + 1 + 536 = 666.

It is a super-2 number, since 2×3967681536² = 31484993542230638592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47803351 + ... + 47803433.

Almost surely, 2^3967681536 is an apocalyptic number.

3967681536 is a gapful number since it is divisible by the number (36) 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 3967681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7703270400).

3967681536 is an abundant number, since it is smaller than the sum of its proper divisors (11438859264).

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

3967681536 is a wasteful number, since it uses less digits than its factorization.

3967681536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 3967681536 is about 62989.5351308453. The cubic root of 3967681536 is about 1583.1142890430.

The spelling of 3967681536 in words is "three billion, nine hundred sixty-seven million, six hundred eighty-one thousand, five hundred thirty-six".