3390625680 has 320 divisors, whose sum is σ = 11732582400. Its totient is φ = 804722688.

The previous prime is 3390625669. The next prime is 3390625691. The reversal of 3390625680 is 865260933.

It is an interprime number because it is at equal distance from previous prime (3390625669) and next prime (3390625691).

It is a super-2 number, since 2×3390625680² = 22992685003750924800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17038221 + ... + 17038419.

It is an arithmetic number, because the mean of its divisors is an integer number (36664320).

Almost surely, 2^3390625680 is an apocalyptic number.

3390625680 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 3390625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866291200).

3390625680 is an abundant number, since it is smaller than the sum of its proper divisors (8341956720).

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

3390625680 is a wasteful number, since it uses less digits than its factorization.

3390625680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3390625680 is about 58229.0793332678. The cubic root of 3390625680 is about 1502.3113521603.

The spelling of 3390625680 in words is "three billion, three hundred ninety million, six hundred twenty-five thousand, six hundred eighty".