3604834464 has 192 divisors, whose sum is σ = 11948912640. Its totient is φ = 924318720.

The previous prime is 3604834439. The next prime is 3604834469. The reversal of 3604834464 is 4644384063.

3604834464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3604834469) 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, 580882 + ... + 587054.

It is an arithmetic number, because the mean of its divisors is an integer number (62233920).

Almost surely, 2^3604834464 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 3604834464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974456320).

3604834464 is an abundant number, since it is smaller than the sum of its proper divisors (8344078176).

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

3604834464 is a wasteful number, since it uses less digits than its factorization.

3604834464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6283 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The square root of 3604834464 is about 60040.2736835868. The cubic root of 3604834464 is about 1533.3046126105.

The spelling of 3604834464 in words is "three billion, six hundred four million, eight hundred thirty-four thousand, four hundred sixty-four".