3379458908160 has 504 divisors, whose sum is σ = 12444772741596. Its totient is φ = 848151183360.

The previous prime is 3379458908123. The next prime is 3379458908183. The reversal of 3379458908160 is 618098549733.

3379458908160 is a `hidden beast` number, since 3 + 37 + 9 + 4 + 589 + 0 + 8 + 16 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1404736966656 + 1974721941504 = 1185216^2 + 1405248^2 .

It is a super-2 number, since 2×3379458908160² (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 35 ways as a sum of consecutive naturals, for example, 106521100 + ... + 106552820.

Almost surely, 2^{3379458908160} is an apocalyptic number.

3379458908160 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 3379458908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222386370798).

3379458908160 is an abundant number, since it is smaller than the sum of its proper divisors (9065313833436).

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

3379458908160 is a wasteful number, since it uses less digits than its factorization.

3379458908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31792 (or 31748 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3379458908160 in words is "three trillion, three hundred seventy-nine billion, four hundred fifty-eight million, nine hundred eight thousand, one hundred sixty".