342594144 has 96 divisors (see below), whose sum is σ = 1031546880. Its totient is φ = 110505600.

The previous prime is 342594127. The next prime is 342594181. The reversal of 342594144 is 441495243.

342594144 is a `hidden beast` number, since 3 + 425 + 94 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342594099 and 342594108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20389 + ... + 33179.

It is an arithmetic number, because the mean of its divisors is an integer number (10745280).

Almost surely, 2^342594144 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 342594144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515773440).

342594144 is an abundant number, since it is smaller than the sum of its proper divisors (688952736).

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

342594144 is a wasteful number, since it uses less digits than its factorization.

342594144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12841 (or 12827 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 342594144 is about 18509.2988521986. The cubic root of 342594144 is about 699.7237985155.

The spelling of 342594144 in words is "three hundred forty-two million, five hundred ninety-four thousand, one hundred forty-four".