3642874560 has 560 divisors, whose sum is σ = 14715439200. Its totient is φ = 848019456.

The previous prime is 3642874549. The next prime is 3642874577. The reversal of 3642874560 is 654782463.

3642874560 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 87 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6401956 + ... + 6402524.

It is an arithmetic number, because the mean of its divisors is an integer number (26277570).

Almost surely, 2^3642874560 is an apocalyptic number.

3642874560 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 3642874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357719600).

3642874560 is an abundant number, since it is smaller than the sum of its proper divisors (11072564640).

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

3642874560 is a wasteful number, since it uses less digits than its factorization.

3642874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3642874560 is about 60356.2304985989. The cubic root of 3642874560 is about 1538.6791620556.

The spelling of 3642874560 in words is "three billion, six hundred forty-two million, eight hundred seventy-four thousand, five hundred sixty".