345615938304 has 864 divisors, whose sum is σ = 1263067888320. Its totient is φ = 82773540864.

The previous prime is 345615938303. The next prime is 345615938387. The reversal of 345615938304 is 403839516543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (345615938303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241182772 + ... + 241184204.

It is an arithmetic number, because the mean of its divisors is an integer number (1461884130).

Almost surely, 2^345615938304 is an apocalyptic number.

345615938304 is a gapful number since it is divisible by the number (34) 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 345615938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631533944160).

345615938304 is an abundant number, since it is smaller than the sum of its proper divisors (917451950016).

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

345615938304 is a wasteful number, since it uses less digits than its factorization.

345615938304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 345615938304 in words is "three hundred forty-five billion, six hundred fifteen million, nine hundred thirty-eight thousand, three hundred four".