351583369920 has 672 divisors, whose sum is σ = 1288762675200. Its totient is φ = 87820443648.

The previous prime is 351583369919. The next prime is 351583369937. The reversal of 351583369920 is 29963385153.

351583369920 is a `hidden beast` number, since 3 + 5 + 1 + 583 + 36 + 9 + 9 + 20 = 666.

It is a super-3 number, since 3×351583369920³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 800873061 + ... + 800873499.

It is an arithmetic number, because the mean of its divisors is an integer number (1917801600).

Almost surely, 2^351583369920 is an apocalyptic number.

351583369920 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 351583369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644381337600).

351583369920 is an abundant number, since it is smaller than the sum of its proper divisors (937179305280).

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

351583369920 is a wasteful number, since it uses less digits than its factorization.

351583369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 351583369920 in words is "three hundred fifty-one billion, five hundred eighty-three million, three hundred sixty-nine thousand, nine hundred twenty".