353842696352 has 384 divisors, whose sum is σ = 827344627200. Its totient is φ = 147818151936.

The previous prime is 353842696349. The next prime is 353842696387. The reversal of 353842696352 is 253696248353.

Its product of digits (27993600) is a multiple of the sum of its prime divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2253775058 + ... + 2253775214.

It is an arithmetic number, because the mean of its divisors is an integer number (2154543300).

Almost surely, 2^353842696352 is an apocalyptic number.

353842696352 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 353842696352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413672313600).

353842696352 is an abundant number, since it is smaller than the sum of its proper divisors (473501930848).

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

353842696352 is a wasteful number, since it uses less digits than its factorization.

353842696352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 56.

The spelling of 353842696352 in words is "three hundred fifty-three billion, eight hundred forty-two million, six hundred ninety-six thousand, three hundred fifty-two".