353397479688 has 576 divisors, whose sum is σ = 1160726112000. Its totient is φ = 100369653120.

The previous prime is 353397479599. The next prime is 353397479689. The reversal of 353397479688 is 886974793353.

353397479688 is a `hidden beast` number, since 3 + 5 + 3 + 3 + 97 + 479 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (353397479689) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 478210023 + ... + 478210761.

It is an arithmetic number, because the mean of its divisors is an integer number (2015149500).

Almost surely, 2^353397479688 is an apocalyptic number.

353397479688 is a gapful number since it is divisible by the number (38) 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 353397479688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580363056000).

353397479688 is an abundant number, since it is smaller than the sum of its proper divisors (807328632312).

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

353397479688 is a wasteful number, since it uses less digits than its factorization.

353397479688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 881 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 353397479688 in words is "three hundred fifty-three billion, three hundred ninety-seven million, four hundred seventy-nine thousand, six hundred eighty-eight".