353996902272 has 512 divisors, whose sum is σ = 1097756835840. Its totient is φ = 100179763200.

The previous prime is 353996902183. The next prime is 353996902283. The reversal of 353996902272 is 272209699353.

It is a happy number.

It is a super-4 number, since 4×353996902272⁴ (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

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, 964569033 + ... + 964569399.

It is an arithmetic number, because the mean of its divisors is an integer number (2144056320).

Almost surely, 2^353996902272 is an apocalyptic number.

353996902272 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 353996902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548878417920).

353996902272 is an abundant number, since it is smaller than the sum of its proper divisors (743759933568).

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

353996902272 is a wasteful number, since it uses less digits than its factorization.

353996902272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 57.

The spelling of 353996902272 in words is "three hundred fifty-three billion, nine hundred ninety-six million, nine hundred two thousand, two hundred seventy-two".