351323936365920 has 384 divisors, whose sum is σ = 1326455330973696. Its totient is φ = 76421288165376.

The previous prime is 351323936365907. The next prime is 351323936365937. The reversal of 351323936365920 is 29563639323153.

It is a happy number.

It is a super-2 number, since 2×351323936365920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 3685792 + ... + 26762528.

It is an arithmetic number, because the mean of its divisors is an integer number (3454310757744).

Almost surely, 2^{351323936365920} is an apocalyptic number.

351323936365920 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 351323936365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663227665486848).

351323936365920 is an abundant number, since it is smaller than the sum of its proper divisors (975131394607776).

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

351323936365920 is a wasteful number, since it uses less digits than its factorization.

351323936365920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23076982 (or 23076974 counting only the distinct ones).

The product of its (nonzero) digits is 70858800, while the sum is 60.

The spelling of 351323936365920 in words is "three hundred fifty-one trillion, three hundred twenty-three billion, nine hundred thirty-six million, three hundred sixty-five thousand, nine hundred twenty".