3401664120 has 128 divisors (see below), whose sum is σ = 11831961600. Its totient is φ = 867664512.

The previous prime is 3401664109. The next prime is 3401664121. The reversal of 3401664120 is 214661043.

3401664120 is a `hidden beast` number, since 3 + 4 + 0 + 16 + 641 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401664121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43632 + ... + 93311.

It is an arithmetic number, because the mean of its divisors is an integer number (92437200).

Almost surely, 2^3401664120 is an apocalyptic number.

3401664120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3401664120 is an abundant number, since it is smaller than the sum of its proper divisors (8430297480).

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

3401664120 is a wasteful number, since it uses less digits than its factorization.

3401664120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136986 (or 136976 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3401664120 is about 58323.7869140885. The cubic root of 3401664120 is about 1503.9398824903.

The spelling of 3401664120 in words is "three billion, four hundred one million, six hundred sixty-four thousand, one hundred twenty".