3997534464 has 864 divisors, whose sum is σ = 15938294400. Its totient is φ = 975421440.

The previous prime is 3997534451. The next prime is 3997534511. The reversal of 3997534464 is 4644357993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3997534464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108041454 + ... + 108041490.

It is an arithmetic number, because the mean of its divisors is an integer number (18447100).

Almost surely, 2^3997534464 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 3997534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969147200).

3997534464 is an abundant number, since it is smaller than the sum of its proper divisors (11940759936).

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

3997534464 is a wasteful number, since it uses less digits than its factorization.

3997534464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 3997534464 is about 63226.0584253044. The cubic root of 3997534464 is about 1587.0748353975.

The spelling of 3997534464 in words is "three billion, nine hundred ninety-seven million, five hundred thirty-four thousand, four hundred sixty-four".