3364557283104 has 96 divisors (see below), whose sum is σ = 8870964480000. Its totient is φ = 1116568690944.

The previous prime is 3364557283039. The next prime is 3364557283177. The reversal of 3364557283104 is 4013827554633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3364557283104² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116977077 + ... + 117005835.

It is an arithmetic number, because the mean of its divisors is an integer number (92405880000).

Almost surely, 2^{3364557283104} 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 3364557283104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435482240000).

3364557283104 is an abundant number, since it is smaller than the sum of its proper divisors (5506407196896).

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

3364557283104 is a wasteful number, since it uses less digits than its factorization.

3364557283104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34110 (or 34102 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 3364557283104 in words is "three trillion, three hundred sixty-four billion, five hundred fifty-seven million, two hundred eighty-three thousand, one hundred four".