3354920288408 has 128 divisors (see below), whose sum is σ = 7271201710080. Its totient is φ = 1439075151360.

The previous prime is 3354920288389. The next prime is 3354920288411. The reversal of 3354920288408 is 8048820294533.

It is a happy number.

It is a super-2 number, since 2×3354920288408² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 19560110 + ... + 19730882.

It is an arithmetic number, because the mean of its divisors is an integer number (56806263360).

Almost surely, 2^{3354920288408} 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 3354920288408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635600855040).

3354920288408 is an abundant number, since it is smaller than the sum of its proper divisors (3916281421672).

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

3354920288408 is a wasteful number, since it uses less digits than its factorization.

3354920288408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171049 (or 171045 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 3354920288408 in words is "three trillion, three hundred fifty-four billion, nine hundred twenty million, two hundred eighty-eight thousand, four hundred eight".