3604394160 has 320 divisors, whose sum is σ = 12837749760. Its totient is φ = 928972800.

The previous prime is 3604394159. The next prime is 3604394177. The reversal of 3604394160 is 614934063.

3604394160 is a `hidden beast` number, since 3 + 60 + 439 + 4 + 160 = 666.

3604394160 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

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, 14024752 + ... + 14025008.

It is an arithmetic number, because the mean of its divisors is an integer number (40117968).

Almost surely, 2^3604394160 is an apocalyptic number.

3604394160 is a gapful number since it is divisible by the number (30) 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 3604394160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418874880).

3604394160 is an abundant number, since it is smaller than the sum of its proper divisors (9233355600).

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

3604394160 is a wasteful number, since it uses less digits than its factorization.

3604394160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3604394160 is about 60036.6068328316. The cubic root of 3604394160 is about 1533.2421827773.

The spelling of 3604394160 in words is "three billion, six hundred four million, three hundred ninety-four thousand, one hundred sixty".