3353872896 has 240 divisors, whose sum is σ = 10663031808. Its totient is φ = 1006387200.

The previous prime is 3353872889. The next prime is 3353872943. The reversal of 3353872896 is 6982783533.

3353872896 is a `hidden beast` number, since 3 + 353 + 8 + 7 + 289 + 6 = 666.

It is a super-2 number, since 2×3353872896² = 22496926805046853632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6437116 + ... + 6437636.

Almost surely, 2^3353872896 is an apocalyptic number.

3353872896 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 3353872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331515904).

3353872896 is an abundant number, since it is smaller than the sum of its proper divisors (7309158912).

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

3353872896 is a wasteful number, since it uses less digits than its factorization.

3353872896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 664 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3353872896 is about 57912.6315755035. The cubic root of 3353872896 is about 1496.8635048366.

The spelling of 3353872896 in words is "three billion, three hundred fifty-three million, eight hundred seventy-two thousand, eight hundred ninety-six".