34674029000 has 128 divisors (see below), whose sum is σ = 87703106400. Its totient is φ = 12755174400.

The previous prime is 34674028997. The next prime is 34674029083. The reversal of 34674029000 is 92047643.

It can be written as a sum of positive squares in 16 ways, for example, as 2041051684 + 32632977316 = 45178^2 + 180646^2 .

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, 3596186 + ... + 3605814.

Almost surely, 2^34674029000 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 34674029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43851553200).

34674029000 is an abundant number, since it is smaller than the sum of its proper divisors (53029077400).

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

34674029000 is a wasteful number, since it uses less digits than its factorization.

34674029000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9940 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 34674029000 in words is "thirty-four billion, six hundred seventy-four million, twenty-nine thousand".