3564063720 has 256 divisors, whose sum is σ = 13632192000. Its totient is φ = 811358208.

The previous prime is 3564063709. The next prime is 3564063761. The reversal of 3564063720 is 273604653.

3564063720 is a `hidden beast` number, since 3 + 5 + 640 + 6 + 3 + 7 + 2 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2214276 + ... + 2215884.

It is an arithmetic number, because the mean of its divisors is an integer number (53250750).

Almost surely, 2^3564063720 is an apocalyptic number.

3564063720 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 3564063720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816096000).

3564063720 is an abundant number, since it is smaller than the sum of its proper divisors (10068128280).

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

3564063720 is a wasteful number, since it uses less digits than its factorization.

3564063720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3564063720 is about 59699.7798990918. The cubic root of 3564063720 is about 1527.5021140848.

The spelling of 3564063720 in words is "three billion, five hundred sixty-four million, sixty-three thousand, seven hundred twenty".