345506729376 has 192 divisors, whose sum is σ = 1017399398400. Its totient is φ = 102142503936.

The previous prime is 345506729363. The next prime is 345506729431. The reversal of 345506729376 is 673927605543.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884130 + ... + 2059358.

It is an arithmetic number, because the mean of its divisors is an integer number (5298955200).

Almost surely, 2^345506729376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345506729376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508699699200).

345506729376 is an abundant number, since it is smaller than the sum of its proper divisors (671892669024).

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

345506729376 is a wasteful number, since it uses less digits than its factorization.

345506729376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175331 (or 175323 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 57.

The spelling of 345506729376 in words is "three hundred forty-five billion, five hundred six million, seven hundred twenty-nine thousand, three hundred seventy-six".