3834504576 has 256 divisors, whose sum is σ = 13353676800. Its totient is φ = 1060024320.

The previous prime is 3834504559. The next prime is 3834504599. The reversal of 3834504576 is 6754054383.

3834504576 is a `hidden beast` number, since 38 + 3 + 45 + 0 + 4 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747396 + ... + 752508.

It is an arithmetic number, because the mean of its divisors is an integer number (52162800).

Almost surely, 2^3834504576 is an apocalyptic number.

3834504576 is a gapful number since it is divisible by the number (36) 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 3834504576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676838400).

3834504576 is an abundant number, since it is smaller than the sum of its proper divisors (9519172224).

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

3834504576 is a wasteful number, since it uses less digits than its factorization.

3834504576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 3834504576 is about 61923.3766521174. The cubic root of 3834504576 is about 1565.1996908916.

The spelling of 3834504576 in words is "three billion, eight hundred thirty-four million, five hundred four thousand, five hundred seventy-six".