3345677913360 has 160 divisors (see below), whose sum is σ = 10485652625280. Its totient is φ = 882382454784.

The previous prime is 3345677913337. The next prime is 3345677913377. The reversal of 3345677913360 is 633197765433.

It is a happy number.

It is a super-2 number, since 2×3345677913360² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3345677913360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34708911 + ... + 34805169.

It is an arithmetic number, because the mean of its divisors is an integer number (65535328908).

Almost surely, 2^{3345677913360} is an apocalyptic number.

3345677913360 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 3345677913360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242826312640).

3345677913360 is an abundant number, since it is smaller than the sum of its proper divisors (7139974711920).

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

3345677913360 is a wasteful number, since it uses less digits than its factorization.

3345677913360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97865 (or 97859 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 57.

The spelling of 3345677913360 in words is "three trillion, three hundred forty-five billion, six hundred seventy-seven million, nine hundred thirteen thousand, three hundred sixty".