3375187920 has 160 divisors (see below), whose sum is σ = 12520032000. Its totient is φ = 830808576.

The previous prime is 3375187919. The next prime is 3375187927. The reversal of 3375187920 is 297815733.

It is a happy number.

It is a super-2 number, since 2×3375187920² = 22783786990627852800, which contains 22 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 not an unprimeable number, because it can be changed into a prime (3375187927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32020 + ... + 88179.

It is an arithmetic number, because the mean of its divisors is an integer number (78250200).

Almost surely, 2^3375187920 is an apocalyptic number.

3375187920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3375187920 is an abundant number, since it is smaller than the sum of its proper divisors (9144844080).

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

3375187920 is a wasteful number, since it uses less digits than its factorization.

3375187920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120234 (or 120222 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3375187920 is about 58096.3675284436. The cubic root of 3375187920 is about 1500.0278394833.

The spelling of 3375187920 in words is "three billion, three hundred seventy-five million, one hundred eighty-seven thousand, nine hundred twenty".