34200412640 has 96 divisors (see below), whose sum is σ = 82185352704. Its totient is φ = 13446259200.

The previous prime is 34200412633. The next prime is 34200412657. The reversal of 34200412640 is 4621400243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5217365 + ... + 5223915.

It is an arithmetic number, because the mean of its divisors is an integer number (856097424).

Almost surely, 2^34200412640 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 34200412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41092676352).

34200412640 is an abundant number, since it is smaller than the sum of its proper divisors (47984940064).

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

34200412640 is a wasteful number, since it uses less digits than its factorization.

34200412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34200412640 its reverse (4621400243), we get a palindrome (38821812883).

The spelling of 34200412640 in words is "thirty-four billion, two hundred million, four hundred twelve thousand, six hundred forty".