34140906690 has 128 divisors (see below), whose sum is σ = 91700563968. Its totient is φ = 8063969280.

The previous prime is 34140906617. The next prime is 34140906691. The reversal of 34140906690 is 9660904143.

It is a super-2 number, since 2×34140906690² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34140906691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3515922 + ... + 3525618.

It is an arithmetic number, because the mean of its divisors is an integer number (716410656).

Almost surely, 2^34140906690 is an apocalyptic number.

34140906690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34140906690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45850281984).

34140906690 is an abundant number, since it is smaller than the sum of its proper divisors (57559657278).

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

34140906690 is a wasteful number, since it uses less digits than its factorization.

34140906690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992.

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 34140906690 in words is "thirty-four billion, one hundred forty million, nine hundred six thousand, six hundred ninety".