3564657280900 has 135 divisors (see below), whose sum is σ = 8180684027061. Its totient is φ = 1348234670880.

The previous prime is 3564657280883. The next prime is 3564657280903. The reversal of 3564657280900 is 90827564653.

The square root of 3564657280900 is 1888030.

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

3564657280900 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 only one way, i.e., 1283276621124 + 2281380659776 = 1132818^2 + 1510424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3564657280903) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6815788039 + ... + 6815788561.

Almost surely, 2^{3564657280900} is an apocalyptic number.

3564657280900 is the 1888030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564657280900

3564657280900 is an abundant number, since it is smaller than the sum of its proper divisors (4616026746161).

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

3564657280900 is an frugal number, since it uses more digits than its factorization.

3564657280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 3564657280900 in words is "three trillion, five hundred sixty-four billion, six hundred fifty-seven million, two hundred eighty thousand, nine hundred".