34690032000 has 1280 divisors, whose sum is σ = 145556611200. Its totient is φ = 8128512000.

The previous prime is 34690031927. The next prime is 34690032017. The reversal of 34690032000 is 23009643.

It is a super-2 number, since 2×34690032000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 488591965 + ... + 488592035.

Almost surely, 2^34690032000 is an apocalyptic number.

34690032000 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 34690032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72778305600).

34690032000 is an abundant number, since it is smaller than the sum of its proper divisors (110866579200).

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

34690032000 is a wasteful number, since it uses less digits than its factorization.

34690032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 34690032000 in words is "thirty-four billion, six hundred ninety million, thirty-two thousand".