34427669640 has 512 divisors, whose sum is σ = 131182571520. Its totient is φ = 7034646528.

The previous prime is 34427669581. The next prime is 34427669657. The reversal of 34427669640 is 4696672443.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73720687 + ... + 73721153.

It is an arithmetic number, because the mean of its divisors is an integer number (256215960).

Almost surely, 2^34427669640 is an apocalyptic number.

34427669640 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 34427669640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65591285760).

34427669640 is an abundant number, since it is smaller than the sum of its proper divisors (96754901880).

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

34427669640 is a wasteful number, since it uses less digits than its factorization.

34427669640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 34427669640 in words is "thirty-four billion, four hundred twenty-seven million, six hundred sixty-nine thousand, six hundred forty".