342001400832 has 1056 divisors, whose sum is σ = 1297084006400. Its totient is φ = 84778057728.

The previous prime is 342001400827. The next prime is 342001400857. The reversal of 342001400832 is 238004100243.

It is a junction number, because it is equal to n+sod(n) for n = 342001400796 and 342001400805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2692924353 + ... + 2692924479.

Almost surely, 2^342001400832 is an apocalyptic number.

342001400832 is a gapful number since it is divisible by the number (32) 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 342001400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648542003200).

342001400832 is an abundant number, since it is smaller than the sum of its proper divisors (955082605568).

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

342001400832 is a wasteful number, since it uses less digits than its factorization.

342001400832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

It can be divided in two parts, 34200 and 1400832, that multiplied together give a square (47908454400 = 218880²).

The spelling of 342001400832 in words is "three hundred forty-two billion, one million, four hundred thousand, eight hundred thirty-two".