342493920000 has 1080 divisors, whose sum is σ = 1338800246784. Its totient is φ = 87132672000.

The previous prime is 342493919981. The next prime is 342493920001. The reversal of 342493920000 is 29394243.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (342493920001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 894239809 + ... + 894240191.

Almost surely, 2^342493920000 is an apocalyptic number.

342493920000 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 342493920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669400123392).

342493920000 is an abundant number, since it is smaller than the sum of its proper divisors (996306326784).

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

342493920000 is an frugal number, since it uses more digits than its factorization.

342493920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 342493920000 in words is "three hundred forty-two billion, four hundred ninety-three million, nine hundred twenty thousand".