3373642656 has 288 divisors, whose sum is σ = 10676232000. Its totient is φ = 1035915264.

The previous prime is 3373642627. The next prime is 3373642661. The reversal of 3373642656 is 6562463733.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3373642656² = 22762929540765468672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14731950 + ... + 14732178.

It is an arithmetic number, because the mean of its divisors is an integer number (37070250).

Almost surely, 2^3373642656 is an apocalyptic number.

3373642656 is a gapful number since it is divisible by the number (36) 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 3373642656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338116000).

3373642656 is an abundant number, since it is smaller than the sum of its proper divisors (7302589344).

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

3373642656 is a wasteful number, since it uses less digits than its factorization.

3373642656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 310 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 45.

The square root of 3373642656 is about 58083.0668611774. The cubic root of 3373642656 is about 1499.7988850364.

The spelling of 3373642656 in words is "three billion, three hundred seventy-three million, six hundred forty-two thousand, six hundred fifty-six".