3113442033408 has 1296 divisors, whose sum is σ = 11612311349184. Its totient is φ = 812665405440.

The previous prime is 3113442033341. The next prime is 3113442033421. The reversal of 3113442033408 is 8043302443113.

3113442033408 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 44 + 203 + 3 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7395349038 + ... + 7395349458.

Almost surely, 2^{3113442033408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113442033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806155674592).

3113442033408 is an abundant number, since it is smaller than the sum of its proper divisors (8498869315776).

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

3113442033408 is an frugal number, since it uses more digits than its factorization.

3113442033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3113442033408 in words is "three trillion, one hundred thirteen billion, four hundred forty-two million, thirty-three thousand, four hundred eight".