34066640 has 80 divisors (see below), whose sum is σ = 86257872. Its totient is φ = 12460032.

The previous prime is 34066633. The next prime is 34066663. The reversal of 34066640 is 4666043.

It can be written as a sum of positive squares in 8 ways, for example, as 12759184 + 21307456 = 3572^2 + 4616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49982 + ... + 50658.

Almost surely, 2^34066640 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 34066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43128936).

34066640 is an abundant number, since it is smaller than the sum of its proper divisors (52191232).

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

34066640 is a wasteful number, since it uses less digits than its factorization.

34066640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 34066640 is about 5836.6634304198. The cubic root of 34066640 is about 324.1726966348.

It can be divided in two parts, 340 and 66640, that multiplied together give a square (22657600 = 4760²).

The spelling of 34066640 in words is "thirty-four million, sixty-six thousand, six hundred forty".