34291440 has 120 divisors (see below), whose sum is σ = 116586288. Its totient is φ = 9031680.

The previous prime is 34291429. The next prime is 34291441. The reversal of 34291440 is 4419243.

34291440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34291441) 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 23 ways as a sum of consecutive naturals, for example, 69595 + ... + 70085.

Almost surely, 2^34291440 is an apocalyptic number.

34291440 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 34291440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58293144).

34291440 is an abundant number, since it is smaller than the sum of its proper divisors (82294848).

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

34291440 is a wasteful number, since it uses less digits than its factorization.

34291440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34291440 is about 5855.8893432168. The cubic root of 34291440 is about 324.8841875324.

The spelling of 34291440 in words is "thirty-four million, two hundred ninety-one thousand, four hundred forty".