351672468840 has 1728 divisors, whose sum is σ = 1546391180880. Its totient is φ = 68976230400.

The previous prime is 351672468817. The next prime is 351672468863. The reversal of 351672468840 is 48864276153.

It is a happy number.

351672468840 is a `hidden beast` number, since 3 + 516 + 7 + 2 + 4 + 6 + 88 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (351672468817) and next prime (351672468863).

It can be written as a sum of positive squares in 8 ways, for example, as 136945883844 + 214726584996 = 370062^2 + 463386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4817431044 + ... + 4817431116.

Almost surely, 2^351672468840 is an apocalyptic number.

351672468840 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 351672468840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773195590440).

351672468840 is an abundant number, since it is smaller than the sum of its proper divisors (1194718712040).

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

351672468840 is a wasteful number, since it uses less digits than its factorization.

351672468840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 351672468840 in words is "three hundred fifty-one billion, six hundred seventy-two million, four hundred sixty-eight thousand, eight hundred forty".