3564506240100 has 729 divisors, whose sum is σ = 12482363911563. Its totient is φ = 850411111680.

The previous prime is 3564506240089. The next prime is 3564506240123. The reversal of 3564506240100 is 10426054653.

The square root of 3564506240100 is 1887990.

It is a perfect power (a square), and thus also a powerful number.

3564506240100 is a `hidden beast` number, since 3 + 5 + 6 + 4 + 506 + 2 + 40 + 100 = 666.

3564506240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 918756756324 + 2645749483776 = 958518^2 + 1626576^2 .

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 242 ways as a sum of consecutive naturals, for example, 34606856649 + ... + 34606856751.

Almost surely, 2^{3564506240100} is an apocalyptic number.

3564506240100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3564506240100 is the 1887990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564506240100

3564506240100 is an abundant number, since it is smaller than the sum of its proper divisors (8917857671463).

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

3564506240100 is a wasteful number, since it uses less digits than its factorization.

3564506240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 3564506240100 by its sum of digits (36), we get a square (128322224643600 = 11327940²).

3564506240100 divided by its sum of digits (36) gives a square (99014062225 = 314665²).

The spelling of 3564506240100 in words is "three trillion, five hundred sixty-four billion, five hundred six million, two hundred forty thousand, one hundred".