342725644800 has 2160 divisors, whose sum is σ = 1617862289472. Its totient is φ = 69872025600.

The previous prime is 342725644753. The next prime is 342725644823. The reversal of 342725644800 is 8446527243.

It is a happy number.

342725644800 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 2 + 564 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×342725644800³ (a number of 36 digits) contains 333 as substring.

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 215 ways as a sum of consecutive naturals, for example, 6466521574 + ... + 6466521626.

Almost surely, 2^342725644800 is an apocalyptic number.

342725644800 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 342725644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808931144736).

342725644800 is an abundant number, since it is smaller than the sum of its proper divisors (1275136644672).

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

342725644800 is an frugal number, since it uses more digits than its factorization.

342725644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 342725644800 in words is "three hundred forty-two billion, seven hundred twenty-five million, six hundred forty-four thousand, eight hundred".