3174874920 has 768 divisors, whose sum is σ = 13727232000. Its totient is φ = 636387840.

The previous prime is 3174874919. The next prime is 3174874961. The reversal of 3174874920 is 294784713.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102415305 + ... + 102415335.

It is an arithmetic number, because the mean of its divisors is an integer number (17874000).

Almost surely, 2^3174874920 is an apocalyptic number.

3174874920 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 3174874920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863616000).

3174874920 is an abundant number, since it is smaller than the sum of its proper divisors (10552357080).

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

3174874920 is a wasteful number, since it uses less digits than its factorization.

3174874920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3174874920 is about 56346.0284314698. The cubic root of 3174874920 is about 1469.7457286150.

The spelling of 3174874920 in words is "three billion, one hundred seventy-four million, eight hundred seventy-four thousand, nine hundred twenty".