3964537872 has 200 divisors, whose sum is σ = 12147838560. Its totient is φ = 1244782080.

The previous prime is 3964537867. The next prime is 3964537897. The reversal of 3964537872 is 2787354693.

3964537872 is a `hidden beast` number, since 39 + 6 + 4 + 537 + 8 + 72 = 666.

It is a super-5 number, since 5×3964537872⁵ (a number of 49 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 39 ways as a sum of consecutive naturals, for example, 5737047 + ... + 5737737.

Almost surely, 2^3964537872 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 3964537872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073919280).

3964537872 is an abundant number, since it is smaller than the sum of its proper divisors (8183300688).

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

3964537872 is a wasteful number, since it uses less digits than its factorization.

3964537872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 948 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3964537872 is about 62964.5763266934. The cubic root of 3964537872 is about 1582.6960687861.

The spelling of 3964537872 in words is "three billion, nine hundred sixty-four million, five hundred thirty-seven thousand, eight hundred seventy-two".