351277244340 has 192 divisors, whose sum is σ = 1088028184320. Its totient is φ = 83972546560.

The previous prime is 351277244299. The next prime is 351277244359. The reversal of 351277244340 is 43442772153.

It is a super-2 number, since 2×351277244340² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 351277244292 and 351277244301.

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, 14680306 + ... + 14704214.

It is an arithmetic number, because the mean of its divisors is an integer number (5666813460).

Almost surely, 2^351277244340 is an apocalyptic number.

351277244340 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 351277244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544014092160).

351277244340 is an abundant number, since it is smaller than the sum of its proper divisors (736750939980).

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

351277244340 is a wasteful number, since it uses less digits than its factorization.

351277244340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24242 (or 24240 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 351277244340 in words is "three hundred fifty-one billion, two hundred seventy-seven million, two hundred forty-four thousand, three hundred forty".