3632204160 has 1024 divisors, whose sum is σ = 15628032000. Its totient is φ = 788299776.

The previous prime is 3632204099. The next prime is 3632204189. The reversal of 3632204160 is 614022363.

3632204160 is a `hidden beast` number, since 3 + 632 + 20 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98167662 + ... + 98167698.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2^3632204160 is an apocalyptic number.

3632204160 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 3632204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814016000).

3632204160 is an abundant number, since it is smaller than the sum of its proper divisors (11995827840).

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

3632204160 is a wasteful number, since it uses less digits than its factorization.

3632204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3632204160 is about 60267.7704913663. The cubic root of 3632204160 is about 1537.1753698914.

The spelling of 3632204160 in words is "three billion, six hundred thirty-two million, two hundred four thousand, one hundred sixty".