3621572640 has 768 divisors, whose sum is σ = 15606743040. Its totient is φ = 766402560.

The previous prime is 3621572593. The next prime is 3621572657. The reversal of 3621572640 is 462751263.

3621572640 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 5 + 7 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3621572595 and 3621572604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28516257 + ... + 28516383.

It is an arithmetic number, because the mean of its divisors is an integer number (20321280).

Almost surely, 2^3621572640 is an apocalyptic number.

3621572640 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 3621572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803371520).

3621572640 is an abundant number, since it is smaller than the sum of its proper divisors (11985170400).

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

3621572640 is a wasteful number, since it uses less digits than its factorization.

3621572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3621572640 is about 60179.5034874832. The cubic root of 3621572640 is about 1535.6741252039.

The spelling of 3621572640 in words is "three billion, six hundred twenty-one million, five hundred seventy-two thousand, six hundred forty".