342685324800 has 1440 divisors, whose sum is σ = 1529471815872. Its totient is φ = 71345111040.

The previous prime is 342685324789. The next prime is 342685324819. The reversal of 342685324800 is 8423586243.

342685324800 is a `hidden beast` number, since 34 + 2 + 6 + 8 + 532 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 1016870232 + ... + 1016870568.

Almost surely, 2^342685324800 is an apocalyptic number.

342685324800 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 342685324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764735907936).

342685324800 is an abundant number, since it is smaller than the sum of its proper divisors (1186786491072).

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

342685324800 is a wasteful number, since it uses less digits than its factorization.

342685324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 342685324800 in words is "three hundred forty-two billion, six hundred eighty-five million, three hundred twenty-four thousand, eight hundred".