342096739200 has 768 divisors, whose sum is σ = 1331925465600. Its totient is φ = 85452226560.

The previous prime is 342096739181. The next prime is 342096739211. The reversal of 342096739200 is 2937690243.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415669989 + ... + 415670811.

It is an arithmetic number, because the mean of its divisors is an integer number (1734277950).

Almost surely, 2^342096739200 is an apocalyptic number.

342096739200 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 342096739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665962732800).

342096739200 is an abundant number, since it is smaller than the sum of its proper divisors (989828726400).

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

342096739200 is a wasteful number, since it uses less digits than its factorization.

342096739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 342096739200 in words is "three hundred forty-two billion, ninety-six million, seven hundred thirty-nine thousand, two hundred".