355352400832 has 672 divisors, whose sum is σ = 925296721920. Its totient is φ = 133765632000.

The previous prime is 355352400829. The next prime is 355352400833. The reversal of 355352400832 is 238004253553.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355352400833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5004963357 + ... + 5004963427.

Almost surely, 2^355352400832 is an apocalyptic number.

355352400832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355352400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462648360960).

355352400832 is an abundant number, since it is smaller than the sum of its proper divisors (569944321088).

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

355352400832 is a wasteful number, since it uses less digits than its factorization.

355352400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 355352400832 in words is "three hundred fifty-five billion, three hundred fifty-two million, four hundred thousand, eight hundred thirty-two".