3140640 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 836352.

The previous prime is 3140639. The next prime is 3140653. The reversal of 3140640 is 460413.

3140640 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3957 + ... + 4683.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 2^3140640 is an apocalyptic number.

3140640 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 3140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3140640 is an abundant number, since it is smaller than the sum of its proper divisors (7866720).

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

3140640 is a wasteful number, since it uses less digits than its factorization.

3140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3140640 is about 1772.1850919134. The cubic root of 3140640 is about 146.4443832108. Note that the first 3 decimals are identical.

The spelling of 3140640 in words is "three million, one hundred forty thousand, six hundred forty".