3997415200 has 72 divisors (see below), whose sum is σ = 9924208560. Its totient is φ = 1571846400.

The previous prime is 3997415183. The next prime is 3997415209. The reversal of 3997415200 is 25147993.

3997415200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3997415209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4855 + ... + 89545.

It is an arithmetic number, because the mean of its divisors is an integer number (137836230).

Almost surely, 2^3997415200 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 3997415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962104280).

3997415200 is an abundant number, since it is smaller than the sum of its proper divisors (5926793360).

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

3997415200 is a wasteful number, since it uses less digits than its factorization.

3997415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84770 (or 84757 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 3997415200 is about 63225.1152628447. The cubic root of 3997415200 is about 1587.0590521043.

The spelling of 3997415200 in words is "three billion, nine hundred ninety-seven million, four hundred fifteen thousand, two hundred".