3140829440 has 108 divisors (see below), whose sum is σ = 8751731436. Its totient is φ = 1076834304.

The previous prime is 3140829437. The next prime is 3140829443. The reversal of 3140829440 is 449280413.

It is an interprime number because it is at equal distance from previous prime (3140829437) and next prime (3140829443).

It can be written as a sum of positive squares in 2 ways, for example, as 1927561216 + 1213268224 = 43904^2 + 34832^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3140829440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140829443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37682 + ... + 87758.

Almost surely, 2^3140829440 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 3140829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375865718).

3140829440 is an abundant number, since it is smaller than the sum of its proper divisors (5610901996).

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

3140829440 is an equidigital number, since it uses as much as digits as its factorization.

3140829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50112 (or 50091 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 3140829440 is about 56043.1034115706. The cubic root of 3140829440 is about 1464.4732760709.

The spelling of 3140829440 in words is "three billion, one hundred forty million, eight hundred twenty-nine thousand, four hundred forty".