34400620640 has 96 divisors (see below), whose sum is σ = 88828233984. Its totient is φ = 12533022720.

The previous prime is 34400620637. The next prime is 34400620643. The reversal of 34400620640 is 4602600443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34400620637) and next prime (34400620643).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400620643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119669 + ... + 288308.

It is an arithmetic number, because the mean of its divisors is an integer number (925294104).

Almost surely, 2^34400620640 is an apocalyptic number.

It is an amenable number.

34400620640 is an abundant number, since it is smaller than the sum of its proper divisors (54427613344).

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

34400620640 is a wasteful number, since it uses less digits than its factorization.

34400620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408040 (or 408032 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The spelling of 34400620640 in words is "thirty-four billion, four hundred million, six hundred twenty thousand, six hundred forty".