3905704224 has 192 divisors, whose sum is σ = 11913350400. Its totient is φ = 1243275264.

The previous prime is 3905704223. The next prime is 3905704247. The reversal of 3905704224 is 4224075093.

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

It is not an unprimeable number, because it can be changed into a prime (3905704223) 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, 2429629 + ... + 2431235.

It is an arithmetic number, because the mean of its divisors is an integer number (62048700).

Almost surely, 2^3905704224 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 3905704224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956675200).

3905704224 is an abundant number, since it is smaller than the sum of its proper divisors (8007646176).

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

3905704224 is a wasteful number, since it uses less digits than its factorization.

3905704224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3905704224 is about 62495.6336394792. The cubic root of 3905704224 is about 1574.8279612541.

The spelling of 3905704224 in words is "three billion, nine hundred five million, seven hundred four thousand, two hundred twenty-four".