342429533376 has 896 divisors, whose sum is σ = 1185062400000. Its totient is φ = 86790832128.

The previous prime is 342429533351. The next prime is 342429533491. The reversal of 342429533376 is 673335924243.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1720751325 + ... + 1720751523.

Almost surely, 2^342429533376 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 342429533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592531200000).

342429533376 is an abundant number, since it is smaller than the sum of its proper divisors (842632866624).

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

342429533376 is a wasteful number, since it uses less digits than its factorization.

342429533376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 51.

The spelling of 342429533376 in words is "three hundred forty-two billion, four hundred twenty-nine million, five hundred thirty-three thousand, three hundred seventy-six".