34329375000 has 384 divisors, whose sum is σ = 123398121600. Its totient is φ = 8592000000.

The previous prime is 34329374999. The next prime is 34329375001. The reversal of 34329375000 is 57392343.

34329375000 is a `hidden beast` number, since 34 + 32 + 93 + 7 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34329374999) and next prime (34329375001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34329375001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95624821 + ... + 95625179.

It is an arithmetic number, because the mean of its divisors is an integer number (321349275).

Almost surely, 2^34329375000 is an apocalyptic number.

34329375000 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 34329375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61699060800).

34329375000 is an abundant number, since it is smaller than the sum of its proper divisors (89068746600).

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

34329375000 is an equidigital number, since it uses as much as digits as its factorization.

34329375000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 34329375000 in words is "thirty-four billion, three hundred twenty-nine million, three hundred seventy-five thousand".