351937956440 has 128 divisors (see below), whose sum is σ = 958426076160. Its totient is φ = 113695363584.

The previous prime is 351937956407. The next prime is 351937956497. The reversal of 351937956440 is 44659739153.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23654 + ... + 839306.

It is an arithmetic number, because the mean of its divisors is an integer number (7487703720).

Almost surely, 2^351937956440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351937956440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479213038080).

351937956440 is an abundant number, since it is smaller than the sum of its proper divisors (606488119720).

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

351937956440 is a wasteful number, since it uses less digits than its factorization.

351937956440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815761 (or 815757 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 56.

The spelling of 351937956440 in words is "three hundred fifty-one billion, nine hundred thirty-seven million, nine hundred fifty-six thousand, four hundred forty".