34382891000 has 128 divisors (see below), whose sum is σ = 85311869760. Its totient is φ = 12925440000.

The previous prime is 34382890987. The next prime is 34382891069. The reversal of 34382891000 is 19828343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19090100 + ... + 19091900.

Almost surely, 2^34382891000 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 34382891000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42655934880).

34382891000 is an abundant number, since it is smaller than the sum of its proper divisors (50928978760).

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

34382891000 is a wasteful number, since it uses less digits than its factorization.

34382891000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 34382891000 in words is "thirty-four billion, three hundred eighty-two million, eight hundred ninety-one thousand".