3624145560 has 384 divisors, whose sum is σ = 14136145920. Its totient is φ = 787885056.

The previous prime is 3624145487. The next prime is 3624145579. The reversal of 3624145560 is 655414263.

3624145560 is a `hidden beast` number, since 3 + 62 + 41 + 4 + 556 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4381867 + ... + 4382693.

It is an arithmetic number, because the mean of its divisors is an integer number (36812880).

Almost surely, 2^3624145560 is an apocalyptic number.

3624145560 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 3624145560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068072960).

3624145560 is an abundant number, since it is smaller than the sum of its proper divisors (10512000360).

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

3624145560 is a wasteful number, since it uses less digits than its factorization.

3624145560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3624145560 is about 60200.8767378018. The cubic root of 3624145560 is about 1536.0377086283.

The spelling of 3624145560 in words is "three billion, six hundred twenty-four million, one hundred forty-five thousand, five hundred sixty".