346872129848640 has 784 divisors, whose sum is σ = 1353503409376896. Its totient is φ = 83934442598400.

The previous prime is 346872129848521. The next prime is 346872129848653. The reversal of 346872129848640 is 46848921278643.

346872129848640 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 7 + 2 + 12 + 98 + 486 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1388124349 + ... + 1388374211.

Almost surely, 2^{346872129848640} is an apocalyptic number.

346872129848640 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 346872129848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676751704688448).

346872129848640 is an abundant number, since it is smaller than the sum of its proper divisors (1006631279528256).

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

346872129848640 is a wasteful number, since it uses less digits than its factorization.

346872129848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250450 (or 250425 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 346872129848640 in words is "three hundred forty-six trillion, eight hundred seventy-two billion, one hundred twenty-nine million, eight hundred forty-eight thousand, six hundred forty".