345247182336 has 640 divisors, whose sum is σ = 1119571200000. Its totient is φ = 94420795392.

The previous prime is 345247182317. The next prime is 345247182349. The reversal of 345247182336 is 633281742543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1734910365 + ... + 1734910563.

It is an arithmetic number, because the mean of its divisors is an integer number (1749330000).

Almost surely, 2^345247182336 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 345247182336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559785600000).

345247182336 is an abundant number, since it is smaller than the sum of its proper divisors (774324017664).

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

345247182336 is an equidigital number, since it uses as much as digits as its factorization.

345247182336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 337 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The spelling of 345247182336 in words is "three hundred forty-five billion, two hundred forty-seven million, one hundred eighty-two thousand, three hundred thirty-six".