3627970560 has 312 divisors, whose sum is σ = 13059075120. Its totient is φ = 967458816.

The previous prime is 3627970559. The next prime is 3627970597. The reversal of 3627970560 is 650797263.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725594110 + ... + 725594114.

It is an arithmetic number, because the mean of its divisors is an integer number (41856010).

Almost surely, 2^3627970560 is an apocalyptic number.

3627970560 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 3627970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529537560).

3627970560 is an abundant number, since it is smaller than the sum of its proper divisors (9431104560).

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

3627970560 is an frugal number, since it uses more digits than its factorization.

3627970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3627970560 is about 60232.6370002177. The cubic root of 3627970560 is about 1536.5779075397.

3627970560 divided by its sum of digits (45) gives a cube (80621568 = 432³).

The spelling of 3627970560 in words is "three billion, six hundred twenty-seven million, nine hundred seventy thousand, five hundred sixty".