3957880320 has 200 divisors, whose sum is σ = 14176619424. Its totient is φ = 1055379456.

The previous prime is 3957880309. The next prime is 3957880331. The reversal of 3957880320 is 230887593.

It is an interprime number because it is at equal distance from previous prime (3957880309) and next prime (3957880331).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 197817 + ... + 216903.

Almost surely, 2^3957880320 is an apocalyptic number.

3957880320 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 3957880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088309712).

3957880320 is an abundant number, since it is smaller than the sum of its proper divisors (10218739104).

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

3957880320 is an equidigital number, since it uses as much as digits as its factorization.

3957880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19122 (or 19097 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3957880320 is about 62911.6866726684. The cubic root of 3957880320 is about 1581.8096447491.

The spelling of 3957880320 in words is "three billion, nine hundred fifty-seven million, eight hundred eighty thousand, three hundred twenty".