3380536444320 has 864 divisors, whose sum is σ = 14667419160576. Its totient is φ = 703774310400.

The previous prime is 3380536444297. The next prime is 3380536444331. The reversal of 3380536444320 is 234446350833.

3380536444320 is a `hidden beast` number, since 3 + 3 + 80 + 53 + 64 + 443 + 20 = 666.

It is a super-2 number, since 2×3380536444320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37139665 + ... + 37230575.

It is an arithmetic number, because the mean of its divisors is an integer number (16976179584).

Almost surely, 2^{3380536444320} is an apocalyptic number.

3380536444320 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 3380536444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333709580288).

3380536444320 is an abundant number, since it is smaller than the sum of its proper divisors (11286882716256).

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

3380536444320 is a wasteful number, since it uses less digits than its factorization.

3380536444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90994 (or 90976 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 3380536444320 in words is "three trillion, three hundred eighty billion, five hundred thirty-six million, four hundred forty-four thousand, three hundred twenty".