342753804288 has 400 divisors, whose sum is σ = 1171333772400. Its totient is φ = 97844723712.

The previous prime is 342753804277. The next prime is 342753804391. The reversal of 342753804288 is 882408357243.

342753804288 is a `hidden beast` number, since 3 + 4 + 27 + 538 + 0 + 4 + 2 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297270720 + ... + 297271872.

It is an arithmetic number, because the mean of its divisors is an integer number (2928334431).

Almost surely, 2^342753804288 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 342753804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585666886200).

342753804288 is an abundant number, since it is smaller than the sum of its proper divisors (828579968112).

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

342753804288 is an frugal number, since it uses more digits than its factorization.

342753804288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

It can be divided in two parts, 342753 and 804288, that added together give a square (1147041 = 1071²).

The spelling of 342753804288 in words is "three hundred forty-two billion, seven hundred fifty-three million, eight hundred four thousand, two hundred eighty-eight".