342825749280 has 1152 divisors, whose sum is σ = 1442857328640. Its totient is φ = 72439234560.

The previous prime is 342825749263. The next prime is 342825749317. The reversal of 342825749280 is 82947528243.

342825749280 is a `hidden beast` number, since 3 + 4 + 28 + 2 + 57 + 492 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 971177584 + ... + 971177936.

It is an arithmetic number, because the mean of its divisors is an integer number (1252480320).

Almost surely, 2^342825749280 is an apocalyptic number.

342825749280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342825749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721428664320).

342825749280 is an abundant number, since it is smaller than the sum of its proper divisors (1100031579360).

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

342825749280 is a wasteful number, since it uses less digits than its factorization.

342825749280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 342825749280 in words is "three hundred forty-two billion, eight hundred twenty-five million, seven hundred forty-nine thousand, two hundred eighty".