345721872384 has 840 divisors, whose sum is σ = 1243833009408. Its totient is φ = 95591301120.

The previous prime is 345721872337. The next prime is 345721872389. The reversal of 345721872384 is 483278127543.

It is a happy number.

345721872384 is a `hidden beast` number, since 3 + 45 + 7 + 218 + 7 + 2 + 384 = 666.

It is a super-2 number, since 2×345721872384² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 345721872384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345721872389) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11152318449 + ... + 11152318479.

Almost surely, 2^345721872384 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 345721872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621916504704).

345721872384 is an abundant number, since it is smaller than the sum of its proper divisors (898111137024).

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

345721872384 is an frugal number, since it uses more digits than its factorization.

345721872384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 43 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 345721872384 in words is "three hundred forty-five billion, seven hundred twenty-one million, eight hundred seventy-two thousand, three hundred eighty-four".