351125743320 has 640 divisors, whose sum is σ = 1388386137600. Its totient is φ = 78668236800.

The previous prime is 351125743289. The next prime is 351125743327. The reversal of 351125743320 is 23347521153.

351125743320 is a `hidden beast` number, since 3 + 51 + 1 + 2 + 574 + 3 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351125743327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27757237 + ... + 27769883.

It is an arithmetic number, because the mean of its divisors is an integer number (2169353340).

Almost surely, 2^351125743320 is an apocalyptic number.

351125743320 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 351125743320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694193068800).

351125743320 is an abundant number, since it is smaller than the sum of its proper divisors (1037260394280).

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

351125743320 is a wasteful number, since it uses less digits than its factorization.

351125743320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12741 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 351125743320 in words is "three hundred fifty-one billion, one hundred twenty-five million, seven hundred forty-three thousand, three hundred twenty".