3624872160 has 384 divisors, whose sum is σ = 14512103424. Its totient is φ = 739860480.

The previous prime is 3624872101. The next prime is 3624872161. The reversal of 3624872160 is 612784263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3624872161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1352742 + ... + 1355418.

It is an arithmetic number, because the mean of its divisors is an integer number (37791936).

Almost surely, 2^3624872160 is an apocalyptic number.

3624872160 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 3624872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256051712).

3624872160 is an abundant number, since it is smaller than the sum of its proper divisors (10887231264).

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

3624872160 is a wasteful number, since it uses less digits than its factorization.

3624872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3624872160 is about 60206.9112311867. The cubic root of 3624872160 is about 1536.1403544705.

The spelling of 3624872160 in words is "three billion, six hundred twenty-four million, eight hundred seventy-two thousand, one hundred sixty".