346545924673536 has 1755 divisors, whose sum is σ = 1276220017205991. Its totient is φ = 93801904422912.

The previous prime is 346545924673453. The next prime is 346545924673561. The reversal of 346545924673536 is 635376429545643.

It is a happy number.

The square root of 346545924673536 is 18615744.

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

346545924673536 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 4 + 5 + 9 + 24 + 67 + 3 + 536 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 18239259193335 + ... + 18239259193353.

Almost surely, 2^{346545924673536} is an apocalyptic number.

346545924673536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

346545924673536 is the 18615744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346545924673536

346545924673536 is an abundant number, since it is smaller than the sum of its proper divisors (929674092532455).

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

346545924673536 is an frugal number, since it uses more digits than its factorization.

346545924673536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 31 counting only the distinct ones).

The product of its digits is 5878656000, while the sum is 72.

The spelling of 346545924673536 in words is "three hundred forty-six trillion, five hundred forty-five billion, nine hundred twenty-four million, six hundred seventy-three thousand, five hundred thirty-six".