342489772800 has 1620 divisors, whose sum is σ = 1498983772440. Its totient is φ = 76918947840.

The previous prime is 342489772789. The next prime is 342489772811. The reversal of 342489772800 is 8277984243.

It is a happy number.

342489772800 is a `hidden beast` number, since 34 + 248 + 97 + 7 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (342489772789) and next prime (342489772811).

It is a tau number, because it is divible by the number of its divisors (1620).

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 179 ways as a sum of consecutive naturals, for example, 2463955131 + ... + 2463955269.

Almost surely, 2^342489772800 is an apocalyptic number.

342489772800 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 342489772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749491886220).

342489772800 is an abundant number, since it is smaller than the sum of its proper divisors (1156493999640).

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

342489772800 is a wasteful number, since it uses less digits than its factorization.

342489772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 342489772800 in words is "three hundred forty-two billion, four hundred eighty-nine million, seven hundred seventy-two thousand, eight hundred".