3337504672 has 24 divisors (see below), whose sum is σ = 6797290500. Its totient is φ = 1611208704.

The previous prime is 3337504669. The next prime is 3337504741. The reversal of 3337504672 is 2764057333.

3337504672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3007864336 + 329640336 = 54844^2 + 18156^2 .

It is a super-2 number, since 2×3337504672² = 22277874871243655168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1797297 + ... + 1799152.

Almost surely, 2^3337504672 is an apocalyptic number.

3337504672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3337504672 is an abundant number, since it is smaller than the sum of its proper divisors (3459785828).

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

3337504672 is a wasteful number, since it uses less digits than its factorization.

3337504672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596488 (or 3596480 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 40.

The square root of 3337504672 is about 57771.1404768852. The cubic root of 3337504672 is about 1494.4244376738.

The spelling of 3337504672 in words is "three billion, three hundred thirty-seven million, five hundred four thousand, six hundred seventy-two".