3337507072 has 36 divisors (see below), whose sum is σ = 6681353616. Its totient is φ = 1663900160.

The previous prime is 3337507009. The next prime is 3337507097. The reversal of 3337507072 is 2707057333.

It is a happy number.

It is a super-2 number, since 2×3337507072² = 22277906911300026368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70047 + ... + 107617.

It is an arithmetic number, because the mean of its divisors is an integer number (185593156).

Almost surely, 2^3337507072 is an apocalyptic number.

3337507072 is a gapful number since it is divisible by the number (32) 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 3337507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340676808).

3337507072 is an abundant number, since it is smaller than the sum of its proper divisors (3343846544).

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

3337507072 is an equidigital number, since it uses as much as digits as its factorization.

3337507072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37934 (or 37920 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 37.

The square root of 3337507072 is about 57771.1612484984. The cubic root of 3337507072 is about 1494.4247958873.

The spelling of 3337507072 in words is "three billion, three hundred thirty-seven million, five hundred seven thousand, seventy-two".