331828734100 has 72 divisors (see below), whose sum is σ = 764862405048. Its totient is φ = 124524441600.

The previous prime is 331828734077. The next prime is 331828734109. The reversal of 331828734100 is 1437828133.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 64351512976 + 267477221124 = 253676^2 + 517182^2 .

It is a super-2 number, since 2×331828734100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331828734109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220290 + ... + 843910.

It is an arithmetic number, because the mean of its divisors is an integer number (10623088959).

Almost surely, 2^331828734100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331828734100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382431202524).

331828734100 is an abundant number, since it is smaller than the sum of its proper divisors (433033670948).

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

331828734100 is a wasteful number, since it uses less digits than its factorization.

331828734100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623965 (or 623958 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 331828734100 in words is "three hundred thirty-one billion, eight hundred twenty-eight million, seven hundred thirty-four thousand, one hundred".