324432768100 has 243 divisors, whose sum is σ = 837590002137. Its totient is φ = 108759792960.

The previous prime is 324432768083. The next prime is 324432768119. The reversal of 324432768100 is 1867234423.

It is a happy number.

The square root of 324432768100 is 569590.

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

It can be written as a sum of positive squares in only one way, i.e., 116795796516 + 207636971584 = 341754^2 + 455672^2 .

It is a super-2 number, since 2×324432768100² (a number of 24 digits) contains 22 as substring.

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, 3149832649 + ... + 3149832751.

Almost surely, 2^324432768100 is an apocalyptic number.

324432768100 is the 569590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324432768100

324432768100 is an abundant number, since it is smaller than the sum of its proper divisors (513157234037).

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

324432768100 is a wasteful number, since it uses less digits than its factorization.

324432768100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 324432768100 in words is "three hundred twenty-four billion, four hundred thirty-two million, seven hundred sixty-eight thousand, one hundred".