342463724928 has 256 divisors, whose sum is σ = 1089506880000. Its totient is φ = 105275344896.

The previous prime is 342463724903. The next prime is 342463724947. The reversal of 342463724928 is 829427364243.

342463724928 is a `hidden beast` number, since 3 + 4 + 24 + 63 + 72 + 492 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59257143 + ... + 59262921.

It is an arithmetic number, because the mean of its divisors is an integer number (4255886250).

Almost surely, 2^342463724928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342463724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544753440000).

342463724928 is an abundant number, since it is smaller than the sum of its proper divisors (747043155072).

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

342463724928 is a wasteful number, since it uses less digits than its factorization.

342463724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7116 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 342463724928 in words is "three hundred forty-two billion, four hundred sixty-three million, seven hundred twenty-four thousand, nine hundred twenty-eight".