34234974000 has 800 divisors, whose sum is σ = 135494042112. Its totient is φ = 8294400000.

The previous prime is 34234973999. The next prime is 34234974001. The reversal of 34234974000 is 47943243.

It is an interprime number because it is at equal distance from previous prime (34234973999) and next prime (34234974001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34234974001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85373800 + ... + 85374200.

Almost surely, 2^34234974000 is an apocalyptic number.

34234974000 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 34234974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67747021056).

34234974000 is an abundant number, since it is smaller than the sum of its proper divisors (101259068112).

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

34234974000 is a wasteful number, since it uses less digits than its factorization.

34234974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 34234974000 in words is "thirty-four billion, two hundred thirty-four million, nine hundred seventy-four thousand".