3380781576816 has 360 divisors, whose sum is σ = 11732190163200. Its totient is φ = 903512413440.

The previous prime is 3380781576791. The next prime is 3380781576841. The reversal of 3380781576816 is 6186751870833.

3380781576816 is a `hidden beast` number, since 338 + 0 + 78 + 157 + 6 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3380781576791) and next prime (3380781576841).

It is a super-2 number, since 2×3380781576816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10431451 + ... + 10750661.

It is an arithmetic number, because the mean of its divisors is an integer number (32589417120).

Almost surely, 2^{3380781576816} is an apocalyptic number.

3380781576816 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 3380781576816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866095081600).

3380781576816 is an abundant number, since it is smaller than the sum of its proper divisors (8351408586384).

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

3380781576816 is a wasteful number, since it uses less digits than its factorization.

3380781576816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319337 (or 319321 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 3380781576816 in words is "three trillion, three hundred eighty billion, seven hundred eighty-one million, five hundred seventy-six thousand, eight hundred sixteen".