342089738601984 has 640 divisors, whose sum is σ = 1046860196659200. Its totient is φ = 110226524405760.

The previous prime is 342089738601917. The next prime is 342089738602019. The reversal of 342089738601984 is 489106837980243.

342089738601984 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 8 + 9 + 7 + 3 + 8 + 601 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 63127832427 + ... + 63127837845.

It is an arithmetic number, because the mean of its divisors is an integer number (1635719057280).

Almost surely, 2^{342089738601984} 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 342089738601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523430098329600).

342089738601984 is an abundant number, since it is smaller than the sum of its proper divisors (704770458057216).

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

342089738601984 is a wasteful number, since it uses less digits than its factorization.

342089738601984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 342089738601984 in words is "three hundred forty-two trillion, eighty-nine billion, seven hundred thirty-eight million, six hundred one thousand, nine hundred eighty-four".