351342131760 has 240 divisors, whose sum is σ = 1185351418368. Its totient is φ = 93261427200.

The previous prime is 351342131731. The next prime is 351342131771. The reversal of 351342131760 is 67131243153.

351342131760 is a `hidden beast` number, since 3 + 513 + 4 + 2 + 131 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×351342131760² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174709155 + ... + 174711165.

Almost surely, 2^351342131760 is an apocalyptic number.

351342131760 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 351342131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592675709184).

351342131760 is an abundant number, since it is smaller than the sum of its proper divisors (834009286608).

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

351342131760 is a wasteful number, since it uses less digits than its factorization.

351342131760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 351342131760 in words is "three hundred fifty-one billion, three hundred forty-two million, one hundred thirty-one thousand, seven hundred sixty".