3302885376 has 576 divisors, whose sum is σ = 12100233600. Its totient is φ = 885620736.

The previous prime is 3302885357. The next prime is 3302885381. The reversal of 3302885376 is 6735882033.

3302885376 is a `hidden beast` number, since 3 + 30 + 2 + 88 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3302885376² = 21818103613989322752, 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, 62318566 + ... + 62318618.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^3302885376 is an apocalyptic number.

3302885376 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 3302885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050116800).

3302885376 is an abundant number, since it is smaller than the sum of its proper divisors (8797348224).

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

3302885376 is a wasteful number, since it uses less digits than its factorization.

3302885376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3302885376 is about 57470.7349526696. The cubic root of 3302885376 is about 1489.2393420861.

The spelling of 3302885376 in words is "three billion, three hundred two million, eight hundred eighty-five thousand, three hundred seventy-six".