3404056644 has 192 divisors, whose sum is σ = 9603686400. Its totient is φ = 1039215744.

The previous prime is 3404056577. The next prime is 3404056681. The reversal of 3404056644 is 4466504043.

3404056644 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 0 + 5 + 6 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3404056599 and 3404056608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15264717 + ... + 15264939.

It is an arithmetic number, because the mean of its divisors is an integer number (50019200).

Almost surely, 2^3404056644 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 3404056644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801843200).

3404056644 is an abundant number, since it is smaller than the sum of its proper divisors (6199629756).

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

3404056644 is a wasteful number, since it uses less digits than its factorization.

3404056644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

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

The square root of 3404056644 is about 58344.2940140679. The cubic root of 3404056644 is about 1504.2923931907.

The spelling of 3404056644 in words is "three billion, four hundred four million, fifty-six thousand, six hundred forty-four".