3337142172 has 96 divisors (see below), whose sum is σ = 9914150400. Its totient is φ = 849768192.

The previous prime is 3337142161. The next prime is 3337142203. The reversal of 3337142172 is 2712417333.

It is a super-2 number, since 2×3337142172² = 22273035752281755168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21022 + ... + 84357.

It is an arithmetic number, because the mean of its divisors is an integer number (103272400).

Almost surely, 2^3337142172 is an apocalyptic number.

It is an amenable number.

3337142172 is an abundant number, since it is smaller than the sum of its proper divisors (6577008228).

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

3337142172 is a wasteful number, since it uses less digits than its factorization.

3337142172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105435 (or 105433 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 3337142172 is about 57768.0030120481. The cubic root of 3337142172 is about 1494.3703305363.

The spelling of 3337142172 in words is "three billion, three hundred thirty-seven million, one hundred forty-two thousand, one hundred seventy-two".