348713870400 has 1701 divisors, whose sum is σ = 1563877372239. Its totient is φ = 73470136320.

The previous prime is 348713870383. The next prime is 348713870441. The reversal of 348713870400 is 4078317843.

The square root of 348713870400 is 590520.

It is a perfect power (a square), and thus also a powerful number.

348713870400 is a `hidden beast` number, since 3 + 48 + 7 + 138 + 70 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33103619136 + 315610251264 = 181944^2 + 561792^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9424699182 + ... + 9424699218.

Almost surely, 2^348713870400 is an apocalyptic number.

348713870400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

348713870400 is the 590520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348713870400

348713870400 is an abundant number, since it is smaller than the sum of its proper divisors (1215163501839).

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

348713870400 is a wasteful number, since it uses less digits than its factorization.

348713870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 348713870400 in words is "three hundred forty-eight billion, seven hundred thirteen million, eight hundred seventy thousand, four hundred".