3301825680 has 480 divisors, whose sum is σ = 12420705024. Its totient is φ = 812187648.

The previous prime is 3301825661. The next prime is 3301825687. The reversal of 3301825680 is 865281033.

It is a super-2 number, since 2×3301825680² = 21804105642214924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3301825687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32056509 + ... + 32056611.

Almost surely, 2^3301825680 is an apocalyptic number.

3301825680 is a gapful number since it is divisible by the number (30) 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 3301825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210352512).

3301825680 is an abundant number, since it is smaller than the sum of its proper divisors (9118879344).

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

3301825680 is a wasteful number, since it uses less digits than its factorization.

3301825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3301825680 is about 57461.5147729330. The cubic root of 3301825680 is about 1489.0800561284.

The spelling of 3301825680 in words is "three billion, three hundred one million, eight hundred twenty-five thousand, six hundred eighty".