3404004656400 has 360 divisors, whose sum is σ = 11955942520704. Its totient is φ = 896777856000.

The previous prime is 3404004656369. The next prime is 3404004656411. The reversal of 3404004656400 is 46564004043.

3404004656400 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 0 + 0 + 4 + 6 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169791177 + ... + 169811223.

Almost surely, 2^{3404004656400} is an apocalyptic number.

3404004656400 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 3404004656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977971260352).

3404004656400 is an abundant number, since it is smaller than the sum of its proper divisors (8551937864304).

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

3404004656400 is a wasteful number, since it uses less digits than its factorization.

3404004656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20639 (or 20625 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 3404004656400 in words is "three trillion, four hundred four billion, four million, six hundred fifty-six thousand, four hundred".