3376113133680 has 480 divisors, whose sum is σ = 13386379788288. Its totient is φ = 746201548800.

The previous prime is 3376113133669. The next prime is 3376113133691. The reversal of 3376113133680 is 863313116733.

It is an interprime number because it is at equal distance from previous prime (3376113133669) and next prime (3376113133691).

It is a super-2 number, since 2×3376113133680² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215759617 + ... + 215775263.

Almost surely, 2^{3376113133680} is an apocalyptic number.

3376113133680 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 3376113133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693189894144).

3376113133680 is an abundant number, since it is smaller than the sum of its proper divisors (10010266654608).

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

3376113133680 is a wasteful number, since it uses less digits than its factorization.

3376113133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17085 (or 17076 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3376113133680 in words is "three trillion, three hundred seventy-six billion, one hundred thirteen million, one hundred thirty-three thousand, six hundred eighty".