34099740 has 72 divisors (see below), whose sum is σ = 103914720. Its totient is φ = 9051264.

The previous prime is 34099733. The next prime is 34099753. The reversal of 34099740 is 4799043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34099695 and 34099704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69777 + ... + 70263.

It is an arithmetic number, because the mean of its divisors is an integer number (1443260).

Almost surely, 2^34099740 is an apocalyptic number.

34099740 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 34099740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51957360).

34099740 is an abundant number, since it is smaller than the sum of its proper divisors (69814980).

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

34099740 is a wasteful number, since it uses less digits than its factorization.

34099740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 34099740 is about 5839.4982661184. The cubic root of 34099740 is about 324.2776540840.

The spelling of 34099740 in words is "thirty-four million, ninety-nine thousand, seven hundred forty".