342966698726400 has 3960 divisors, whose sum is σ = 1566387330330240. Its totient is φ = 72497302732800.

The previous prime is 342966698726297. The next prime is 342966698726401. The reversal of 342966698726400 is 4627896669243.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342966698726401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 320829465066 + ... + 320829466134.

It is an arithmetic number, because the mean of its divisors is an integer number (395552356144).

Almost surely, 2^{342966698726400} is an apocalyptic number.

342966698726400 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 342966698726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783193665165120).

342966698726400 is an abundant number, since it is smaller than the sum of its proper divisors (1223420631603840).

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

342966698726400 is a wasteful number, since it uses less digits than its factorization.

342966698726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 342966698726400 in words is "three hundred forty-two trillion, nine hundred sixty-six billion, six hundred ninety-eight million, seven hundred twenty-six thousand, four hundred".