353368697220 has 576 divisors, whose sum is σ = 1370654078976. Its totient is φ = 71567400960.

The previous prime is 353368697219. The next prime is 353368697221. The reversal of 353368697220 is 22796863353.

It is a happy number.

353368697220 is a `hidden beast` number, since 3 + 5 + 336 + 86 + 9 + 7 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (353368697219) and next prime (353368697221).

It is not an unprimeable number, because it can be changed into a prime (353368697221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90074179 + ... + 90078101.

It is an arithmetic number, because the mean of its divisors is an integer number (2379607776).

Almost surely, 2^353368697220 is an apocalyptic number.

353368697220 is a gapful number since it is divisible by the number (30) 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 353368697220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685327039488).

353368697220 is an abundant number, since it is smaller than the sum of its proper divisors (1017285381756).

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

353368697220 is a wasteful number, since it uses less digits than its factorization.

353368697220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 353368697220 in words is "three hundred fifty-three billion, three hundred sixty-eight million, six hundred ninety-seven thousand, two hundred twenty".