348117073920 has 1632 divisors, whose sum is σ = 1592229536640. Its totient is φ = 71345111040.

The previous prime is 348117073901. The next prime is 348117073991. The reversal of 348117073920 is 29370711843.

348117073920 is a `hidden beast` number, since 3 + 481 + 17 + 0 + 73 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4768727004 + ... + 4768727076.

Almost surely, 2^348117073920 is an apocalyptic number.

348117073920 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 348117073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796114768320).

348117073920 is an abundant number, since it is smaller than the sum of its proper divisors (1244112462720).

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

348117073920 is an equidigital number, since it uses as much as digits as its factorization.

348117073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 348117073920 in words is "three hundred forty-eight billion, one hundred seventeen million, seventy-three thousand, nine hundred twenty".