355820242932 has 192 divisors, whose sum is σ = 1164686745600. Its totient is φ = 91250789760.

The previous prime is 355820242931. The next prime is 355820242961. The reversal of 355820242932 is 239242028553.

355820242932 is a `hidden beast` number, since 3 + 558 + 2 + 0 + 2 + 4 + 2 + 93 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355820242931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386158 + ... + 927770.

It is an arithmetic number, because the mean of its divisors is an integer number (6066076800).

Almost surely, 2^355820242932 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 355820242932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582343372800).

355820242932 is an abundant number, since it is smaller than the sum of its proper divisors (808866502668).

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

355820242932 is a wasteful number, since it uses less digits than its factorization.

355820242932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541723 (or 541715 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 355820242932 in words is "three hundred fifty-five billion, eight hundred twenty million, two hundred forty-two thousand, nine hundred thirty-two".