342790963200 has 1428 divisors, whose sum is σ = 1492202440848. Its totient is φ = 76441190400.

The previous prime is 342790963171. The next prime is 342790963201. The reversal of 342790963200 is 2369097243.

342790963200 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 9 + 0 + 9 + 632 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342790963201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8360755180 + ... + 8360755220.

Almost surely, 2^342790963200 is an apocalyptic number.

342790963200 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 342790963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746101220424).

342790963200 is an abundant number, since it is smaller than the sum of its proper divisors (1149411477648).

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

342790963200 is an frugal number, since it uses more digits than its factorization.

342790963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

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

The spelling of 342790963200 in words is "three hundred forty-two billion, seven hundred ninety million, nine hundred sixty-three thousand, two hundred".