3997192320 has 512 divisors, whose sum is σ = 16365369600. Its totient is φ = 911278080.

The previous prime is 3997192289. The next prime is 3997192321. The reversal of 3997192320 is 232917993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3997192321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3230742 + ... + 3231978.

Almost surely, 2^3997192320 is an apocalyptic number.

3997192320 is a gapful number since it is divisible by the number (30) 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 3997192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182684800).

3997192320 is an abundant number, since it is smaller than the sum of its proper divisors (12368177280).

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

3997192320 is a wasteful number, since it uses less digits than its factorization.

3997192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 3997192320 is about 63223.3526475779. The cubic root of 3997192320 is about 1587.0295555189.

The spelling of 3997192320 in words is "three billion, nine hundred ninety-seven million, one hundred ninety-two thousand, three hundred twenty".