342296478007200 has 1152 divisors, whose sum is σ = 1353604803747840. Its totient is φ = 83106050457600.

The previous prime is 342296478007171. The next prime is 342296478007241. The reversal of 342296478007200 is 2700874692243.

342296478007200 is a `hidden beast` number, since 3 + 422 + 9 + 6 + 4 + 7 + 8 + 0 + 0 + 7 + 200 = 666.

It is a super-2 number, since 2×342296478007200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 43290305647 + ... + 43290313553.

It is an arithmetic number, because the mean of its divisors is an integer number (1175004169920).

Almost surely, 2^{342296478007200} is an apocalyptic number.

342296478007200 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 342296478007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676802401873920).

342296478007200 is an abundant number, since it is smaller than the sum of its proper divisors (1011308325740640).

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

342296478007200 is a wasteful number, since it uses less digits than its factorization.

342296478007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11787 (or 11768 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 342296478007200 in words is "three hundred forty-two trillion, two hundred ninety-six billion, four hundred seventy-eight million, seven thousand, two hundred".