34089768000 has 224 divisors, whose sum is σ = 125072363520. Its totient is φ = 9090547200.

The previous prime is 34089767927. The next prime is 34089768001. The reversal of 34089768000 is 86798043.

It is a happy number.

It is a super-2 number, since 2×34089768000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34089768001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137089 + ... + 294911.

Almost surely, 2^34089768000 is an apocalyptic number.

34089768000 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 34089768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62536181760).

34089768000 is an abundant number, since it is smaller than the sum of its proper divisors (90982595520).

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

34089768000 is a wasteful number, since it uses less digits than its factorization.

34089768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157859 (or 157833 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 34089768000 in words is "thirty-four billion, eighty-nine million, seven hundred sixty-eight thousand".