34022012444000 has 96 divisors (see below), whose sum is σ = 95533811021376. Its totient is φ = 11664689971200.

The previous prime is 34022012443973. The next prime is 34022012444009. The reversal of 34022012444000 is 44421022043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34022012444009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607507937 + ... + 607563936.

It is an arithmetic number, because the mean of its divisors is an integer number (995143864806).

Almost surely, 2^{34022012444000} is an apocalyptic number.

It is an amenable number.

34022012444000 is an abundant number, since it is smaller than the sum of its proper divisors (61511798577376).

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

34022012444000 is a wasteful number, since it uses less digits than its factorization.

34022012444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215071905 (or 1215071887 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 34022012444000 its reverse (44421022043), we get a palindrome (34066433466043).

The spelling of 34022012444000 in words is "thirty-four trillion, twenty-two billion, twelve million, four hundred forty-four thousand".