3213163800900 has 243 divisors, whose sum is σ = 10463044797751. Its totient is φ = 856456493760.

The previous prime is 3213163800887. The next prime is 3213163800941. The reversal of 3213163800900 is 90083613123.

The square root of 3213163800900 is 1792530.

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

3213163800900 is a `hidden beast` number, since 3 + 2 + 13 + 1 + 638 + 0 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 902131437636 + 2311032363264 = 949806^2 + 1520208^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×3213163800900² (a number of 26 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1451948194 + ... + 1451950406.

Almost surely, 2^{3213163800900} is an apocalyptic number.

3213163800900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3213163800900 is the 1792530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213163800900

3213163800900 is an abundant number, since it is smaller than the sum of its proper divisors (7249880996851).

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

3213163800900 is an frugal number, since it uses more digits than its factorization.

3213163800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 3213163800900 by its sum of digits (36), we get a square (115673896832400 = 10755180²).

3213163800900 divided by its sum of digits (36) gives a square (89254550025 = 298755²).

The spelling of 3213163800900 in words is "three trillion, two hundred thirteen billion, one hundred sixty-three million, eight hundred thousand, nine hundred".