3157989120 has 864 divisors, whose sum is σ = 13499426304. Its totient is φ = 696729600.

The previous prime is 3157989091. The next prime is 3157989137. The reversal of 3157989120 is 219897513.

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

It is a super-3 number, since 3×3157989120³ (a number of 29 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 44478685 + ... + 44478755.

It is an arithmetic number, because the mean of its divisors is an integer number (15624336).

Almost surely, 2^3157989120 is an apocalyptic number.

3157989120 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 3157989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749713152).

3157989120 is an abundant number, since it is smaller than the sum of its proper divisors (10341437184).

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

3157989120 is a wasteful number, since it uses less digits than its factorization.

3157989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 3157989120 is about 56195.9884689290. The cubic root of 3157989120 is about 1467.1354461112.

The spelling of 3157989120 in words is "three billion, one hundred fifty-seven million, nine hundred eighty-nine thousand, one hundred twenty".