34390968640 has 224 divisors, whose sum is σ = 95895249408. Its totient is φ = 11504640000.

The previous prime is 34390968637. The next prime is 34390968673. The reversal of 34390968640 is 4686909343.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16061970 + ... + 16064110.

It is an arithmetic number, because the mean of its divisors is an integer number (428103792).

Almost surely, 2^34390968640 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 34390968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47947624704).

34390968640 is an abundant number, since it is smaller than the sum of its proper divisors (61504280768).

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

34390968640 is a wasteful number, since it uses less digits than its factorization.

34390968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 34390968640 in words is "thirty-four billion, three hundred ninety million, nine hundred sixty-eight thousand, six hundred forty".