342383611046400 has 5760 divisors, whose sum is σ = 1659924626595840. Its totient is φ = 68279500800000.

The previous prime is 342383611046327. The next prime is 342383611046419. The reversal of 342383611046400 is 4640116383243.

342383611046400 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 83 + 61 + 104 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×342383611046400² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1218447014260 + ... + 1218447014540.

It is an arithmetic number, because the mean of its divisors is an integer number (288181358784).

Almost surely, 2^{342383611046400} is an apocalyptic number.

342383611046400 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 342383611046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829962313297920).

342383611046400 is an abundant number, since it is smaller than the sum of its proper divisors (1317541015549440).

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

342383611046400 is a wasteful number, since it uses less digits than its factorization.

342383611046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 342383611046400 in words is "three hundred forty-two trillion, three hundred eighty-three billion, six hundred eleven million, forty-six thousand, four hundred".