348746940304 has 225 divisors, whose sum is σ = 830367371099. Its totient is φ = 141873251520.

The previous prime is 348746940277. The next prime is 348746940319. The reversal of 348746940304 is 403049647843.

The square root of 348746940304 is 590548.

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

It is a super-2 number, since 2×348746940304² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2662190319 + ... + 2662190449.

Almost surely, 2^348746940304 is an apocalyptic number.

348746940304 is the 590548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348746940304

348746940304 is an abundant number, since it is smaller than the sum of its proper divisors (481620430795).

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

348746940304 is an frugal number, since it uses more digits than its factorization.

348746940304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 348746940304 in words is "three hundred forty-eight billion, seven hundred forty-six million, nine hundred forty thousand, three hundred four".