3380114004080 has 160 divisors (see below), whose sum is σ = 8661933600768. Its totient is φ = 1226589661440.

The previous prime is 3380114004013. The next prime is 3380114004101. The reversal of 3380114004080 is 804004110833.

It is a super-2 number, since 2×3380114004080² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51823169 + ... + 51888351.

Almost surely, 2^{3380114004080} 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 3380114004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330966800384).

3380114004080 is an abundant number, since it is smaller than the sum of its proper divisors (5281819596688).

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

3380114004080 is a wasteful number, since it uses less digits than its factorization.

3380114004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65716 (or 65688 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 3380114004080 in words is "three trillion, three hundred eighty billion, one hundred fourteen million, four thousand, eighty".