353379319776 has 432 divisors, whose sum is σ = 1194526569600. Its totient is φ = 97067358720.

The previous prime is 353379319739. The next prime is 353379319793. The reversal of 353379319776 is 677913973353.

353379319776 is a `hidden beast` number, since 3 + 5 + 3 + 379 + 3 + 197 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 346789795 + ... + 346790813.

It is an arithmetic number, because the mean of its divisors is an integer number (2765107800).

Almost surely, 2^353379319776 is an apocalyptic number.

353379319776 is a gapful number since it is divisible by the number (36) 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 353379319776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597263284800).

353379319776 is an abundant number, since it is smaller than the sum of its proper divisors (841147249824).

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

353379319776 is a wasteful number, since it uses less digits than its factorization.

353379319776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1241 counting only the distinct ones).

The product of its digits is 67512690, while the sum is 63.

The spelling of 353379319776 in words is "three hundred fifty-three billion, three hundred seventy-nine million, three hundred nineteen thousand, seven hundred seventy-six".