3642550560 has 672 divisors, whose sum is σ = 14992532352. Its totient is φ = 826122240.

The previous prime is 3642550547. The next prime is 3642550573. The reversal of 3642550560 is 650552463.

It is a happy number.

3642550560 is a `hidden beast` number, since 3 + 6 + 42 + 5 + 50 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3642550547) and next prime (3642550573).

It is a super-3 number, since 3×3642550560³ (a number of 30 digits) contains 333 as substring.

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 111 ways as a sum of consecutive naturals, for example, 21811597 + ... + 21811763.

It is an arithmetic number, because the mean of its divisors is an integer number (22310316).

Almost surely, 2^3642550560 is an apocalyptic number.

3642550560 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 3642550560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496266176).

3642550560 is an abundant number, since it is smaller than the sum of its proper divisors (11349981792).

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

3642550560 is a wasteful number, since it uses less digits than its factorization.

3642550560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3642550560 is about 60353.5463746746. The cubic root of 3642550560 is about 1538.6335436096.

The spelling of 3642550560 in words is "three billion, six hundred forty-two million, five hundred fifty thousand, five hundred sixty".