3139825920 has 864 divisors, whose sum is σ = 13388167296. Its totient is φ = 619315200.

The previous prime is 3139825919. The next prime is 3139825921. The reversal of 3139825920 is 295289313.

It is an interprime number because it is at equal distance from previous prime (3139825919) and next prime (3139825921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3139825921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76581100 + ... + 76581140.

It is an arithmetic number, because the mean of its divisors is an integer number (15495564).

Almost surely, 2^3139825920 is an apocalyptic number.

3139825920 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 3139825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6694083648).

3139825920 is an abundant number, since it is smaller than the sum of its proper divisors (10248341376).

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

3139825920 is a wasteful number, since it uses less digits than its factorization.

3139825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 3139825920 is about 56034.1495875506. The cubic root of 3139825920 is about 1464.3172891681.

The spelling of 3139825920 in words is "three billion, one hundred thirty-nine million, eight hundred twenty-five thousand, nine hundred twenty".