34232004412000 has 192 divisors, whose sum is σ = 84258313776000. Its totient is φ = 13668361420800.

The previous prime is 34232004411973. The next prime is 34232004412031. The reversal of 34232004412000 is 21440023243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 6541561384 + ... + 6541566616.

It is an arithmetic number, because the mean of its divisors is an integer number (438845384250).

Almost surely, 2^{34232004412000} 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 34232004412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42129156888000).

34232004412000 is an abundant number, since it is smaller than the sum of its proper divisors (50026309364000).

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

34232004412000 is a wasteful number, since it uses less digits than its factorization.

34232004412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7866 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34232004412000 its reverse (21440023243), we get a palindrome (34253444435243).

The spelling of 34232004412000 in words is "thirty-four trillion, two hundred thirty-two billion, four million, four hundred twelve thousand".