34040244021000 has 256 divisors, whose sum is σ = 122304342251520. Its totient is φ = 7721232480000.

The previous prime is 34040244020983. The next prime is 34040244021019. The reversal of 34040244021000 is 12044204043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3435886 + ... + 8937885.

It is an arithmetic number, because the mean of its divisors is an integer number (477751336920).

Almost surely, 2^{34040244021000} is an apocalyptic number.

34040244021000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34040244021000 is an abundant number, since it is smaller than the sum of its proper divisors (88264098230520).

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

34040244021000 is a wasteful number, since it uses less digits than its factorization.

34040244021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12373933 (or 12373919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34040244021000 its reverse (12044204043), we get a palindrome (34052288225043).

The spelling of 34040244021000 in words is "thirty-four trillion, forty billion, two hundred forty-four million, twenty-one thousand".