3390078720 has 432 divisors, whose sum is σ = 12918407040. Its totient is φ = 755048448.

The previous prime is 3390078707. The next prime is 3390078733. The reversal of 3390078720 is 278700933.

It is an interprime number because it is at equal distance from previous prime (3390078707) and next prime (3390078733).

It is a super-2 number, since 2×3390078720² = 22985267455593676800, which contains 22 as substring.

It is a congruent number.

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, 8090671 + ... + 8091089.

It is an arithmetic number, because the mean of its divisors is an integer number (29903720).

Almost surely, 2^3390078720 is an apocalyptic number.

3390078720 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 3390078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459203520).

3390078720 is an abundant number, since it is smaller than the sum of its proper divisors (9528328320).

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

3390078720 is a wasteful number, since it uses less digits than its factorization.

3390078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 3390078720 is about 58224.3825214145. The cubic root of 3390078720 is about 1502.2305658510.

The spelling of 3390078720 in words is "three billion, three hundred ninety million, seventy-eight thousand, seven hundred twenty".