352008117090 has 256 divisors, whose sum is σ = 1080096768000. Its totient is φ = 79912707840.

The previous prime is 352008117037. The next prime is 352008117101. The reversal of 352008117090 is 90711800253.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229919625 + ... + 229921155.

It is an arithmetic number, because the mean of its divisors is an integer number (4219128000).

Almost surely, 2^352008117090 is an apocalyptic number.

352008117090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352008117090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540048384000).

352008117090 is an abundant number, since it is smaller than the sum of its proper divisors (728088650910).

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

352008117090 is a wasteful number, since it uses less digits than its factorization.

352008117090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 352008117090 in words is "three hundred fifty-two billion, eight million, one hundred seventeen thousand, ninety".