3370113558720 has 336 divisors, whose sum is σ = 11746931040000. Its totient is φ = 886711812096.

The previous prime is 3370113558661. The next prime is 3370113558727. The reversal of 3370113558720 is 278553110733.

3370113558720 is a `hidden beast` number, since 3 + 3 + 7 + 0 + 11 + 35 + 587 + 20 = 666.

It is a super-2 number, since 2×3370113558720² (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 not an unprimeable number, because it can be changed into a prime (3370113558727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122763556 + ... + 122791004.

Almost surely, 2^{3370113558720} is an apocalyptic number.

3370113558720 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 3370113558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873465520000).

3370113558720 is an abundant number, since it is smaller than the sum of its proper divisors (8376817481280).

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

3370113558720 is a wasteful number, since it uses less digits than its factorization.

3370113558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28040 (or 28027 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 3370113558720 in words is "three trillion, three hundred seventy billion, one hundred thirteen million, five hundred fifty-eight thousand, seven hundred twenty".