3621058560 has 384 divisors, whose sum is σ = 14718412800. Its totient is φ = 827228160.

The previous prime is 3621058549. The next prime is 3621058577. The reversal of 3621058560 is 658501263.

3621058560 is a `hidden beast` number, since 3 + 6 + 2 + 10 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3621058560² = 26224130189898547200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1934425 + ... + 1936295.

It is an arithmetic number, because the mean of its divisors is an integer number (38329200).

Almost surely, 2^3621058560 is an apocalyptic number.

3621058560 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 3621058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359206400).

3621058560 is an abundant number, since it is smaller than the sum of its proper divisors (11097354240).

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

3621058560 is a wasteful number, since it uses less digits than its factorization.

3621058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3621058560 is about 60175.2321142179. The cubic root of 3621058560 is about 1535.6014591008.

The spelling of 3621058560 in words is "three billion, six hundred twenty-one million, fifty-eight thousand, five hundred sixty".