34074144000 has 864 divisors, whose sum is σ = 139279795200. Its totient is φ = 7929446400.

The previous prime is 34074143963. The next prime is 34074144001. The reversal of 34074144000 is 44147043.

It is a super-2 number, since 2×34074144000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34074144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71135761 + ... + 71136239.

Almost surely, 2^34074144000 is an apocalyptic number.

34074144000 is a gapful number since it is divisible by the number (30) 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 34074144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69639897600).

34074144000 is an abundant number, since it is smaller than the sum of its proper divisors (105205651200).

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

34074144000 is a wasteful number, since it uses less digits than its factorization.

34074144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 34074144000 in words is "thirty-four billion, seventy-four million, one hundred forty-four thousand".