3380290560 has 264 divisors, whose sum is σ = 11837637240. Its totient is φ = 891813888.

The previous prime is 3380290553. The next prime is 3380290579. The reversal of 3380290560 is 650920833.

3380290560 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 2 + 90 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 364962816 + 3015327744 = 19104^2 + 54912^2 .

It is a super-2 number, since 2×3380290560² = 22852728540050227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5022384 + ... + 5023056.

It is an arithmetic number, because the mean of its divisors is an integer number (44839535).

Almost surely, 2^3380290560 is an apocalyptic number.

3380290560 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 3380290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918818620).

3380290560 is an abundant number, since it is smaller than the sum of its proper divisors (8457346680).

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

3380290560 is a wasteful number, since it uses less digits than its factorization.

3380290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3380290560 is about 58140.2662532603. The cubic root of 3380290560 is about 1500.7833774753.

The spelling of 3380290560 in words is "three billion, three hundred eighty million, two hundred ninety thousand, five hundred sixty".