34645290000 has 200 divisors, whose sum is σ = 115450444032. Its totient is φ = 8940480000.

The previous prime is 34645289989. The next prime is 34645290037. The reversal of 34645290000 is 9254643.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×34645290000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 911374 + ... + 948626.

Almost surely, 2^34645290000 is an apocalyptic number.

34645290000 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 34645290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57725222016).

34645290000 is an abundant number, since it is smaller than the sum of its proper divisors (80805154032).

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

34645290000 is a wasteful number, since it uses less digits than its factorization.

34645290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37315 (or 37294 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 34645290000 in words is "thirty-four billion, six hundred forty-five million, two hundred ninety thousand".