351427883520 has 640 divisors, whose sum is σ = 1333868912640. Its totient is φ = 77228605440.

The previous prime is 351427883483. The next prime is 351427883563. The reversal of 351427883520 is 25388724153.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 351427883520.

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, 671945979 + ... + 671946501.

It is an arithmetic number, because the mean of its divisors is an integer number (2084170176).

Almost surely, 2^351427883520 is an apocalyptic number.

351427883520 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 351427883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666934456320).

351427883520 is an abundant number, since it is smaller than the sum of its proper divisors (982441029120).

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

351427883520 is a wasteful number, since it uses less digits than its factorization.

351427883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 351427883520 in words is "three hundred fifty-one billion, four hundred twenty-seven million, eight hundred eighty-three thousand, five hundred twenty".