34218525000 has 768 divisors, whose sum is σ = 128241792000. Its totient is φ = 7516800000.

The previous prime is 34218524999. The next prime is 34218525017. The reversal of 34218525000 is 52581243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 579974971 + ... + 579975029.

It is an arithmetic number, because the mean of its divisors is an integer number (166981500).

Almost surely, 2^34218525000 is an apocalyptic number.

34218525000 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 34218525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896000).

34218525000 is an abundant number, since it is smaller than the sum of its proper divisors (94023267000).

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

34218525000 is a wasteful number, since it uses less digits than its factorization.

34218525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 34218525000 in words is "thirty-four billion, two hundred eighteen million, five hundred twenty-five thousand".