3212375136100 has 243 divisors, whose sum is σ = 8028358216641. Its totient is φ = 1114960204800.

The previous prime is 3212375136073. The next prime is 3212375136133. The reversal of 3212375136100 is 16315732123.

The square root of 3212375136100 is 1792310.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2339510966116 + 872864169984 = 1529546^2 + 934272^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 3961004695 + ... + 3961005505.

Almost surely, 2^{3212375136100} is an apocalyptic number.

3212375136100 is the 1792310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212375136100

3212375136100 is an abundant number, since it is smaller than the sum of its proper divisors (4815983080541).

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

3212375136100 is a wasteful number, since it uses less digits than its factorization.

3212375136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 3212375136100 in words is "three trillion, two hundred twelve billion, three hundred seventy-five million, one hundred thirty-six thousand, one hundred".