34338664000 has 112 divisors (see below), whose sum is σ = 87338824560. Its totient is φ = 13364121600.

The previous prime is 34338663979. The next prime is 34338664001. The reversal of 34338664000 is 46683343.

It can be written as a sum of positive squares in 8 ways, for example, as 11956110336 + 22382553664 = 109344^2 + 149608^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (34338664001) 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, 237996 + ... + 354004.

Almost surely, 2^34338664000 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 34338664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43669412280).

34338664000 is an abundant number, since it is smaller than the sum of its proper divisors (53000160560).

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

34338664000 is a wasteful number, since it uses less digits than its factorization.

34338664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116073 (or 116053 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 34338664000 in words is "thirty-four billion, three hundred thirty-eight million, six hundred sixty-four thousand".