348755742720 has 832 divisors, whose sum is σ = 1545999482880. Its totient is φ = 72459878400.

The previous prime is 348755742701. The next prime is 348755742743. The reversal of 348755742720 is 27247557843.

It is a happy number.

348755742720 is a `hidden beast` number, since 3 + 4 + 87 + 557 + 4 + 2 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 42573825 + ... + 42582015.

Almost surely, 2^348755742720 is an apocalyptic number.

348755742720 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 348755742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772999741440).

348755742720 is an abundant number, since it is smaller than the sum of its proper divisors (1197243740160).

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

348755742720 is a wasteful number, since it uses less digits than its factorization.

348755742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8247 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 348755742720 in words is "three hundred forty-eight billion, seven hundred fifty-five million, seven hundred forty-two thousand, seven hundred twenty".