3404639952 has 560 divisors, whose sum is σ = 12360518400. Its totient is φ = 905313024.

The previous prime is 3404639947. The next prime is 3404640013. The reversal of 3404639952 is 2599364043.

3404639952 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 639 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3404639898 and 3404639907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 92017278 + ... + 92017314.

Almost surely, 2^3404639952 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 3404639952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180259200).

3404639952 is an abundant number, since it is smaller than the sum of its proper divisors (8955878448).

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

3404639952 is an equidigital number, since it uses as much as digits as its factorization.

3404639952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3404639952 is about 58349.2926435274. The cubic root of 3404639952 is about 1504.3783118229.

The spelling of 3404639952 in words is "three billion, four hundred four million, six hundred thirty-nine thousand, nine hundred fifty-two".