34818938000 has 320 divisors, whose sum is σ = 105449250816. Its totient is φ = 10802880000.

The previous prime is 34818937997. The next prime is 34818938041. The reversal of 34818938000 is 83981843.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 47893637 + ... + 47894363.

Almost surely, 2^34818938000 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 34818938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52724625408).

34818938000 is an abundant number, since it is smaller than the sum of its proper divisors (70630312816).

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

34818938000 is a wasteful number, since it uses less digits than its factorization.

34818938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 34818938000 in words is "thirty-four billion, eight hundred eighteen million, nine hundred thirty-eight thousand".