3440140400 has 90 divisors (see below), whose sum is σ = 8780003520. Its totient is φ = 1295068160.

The previous prime is 3440140397. The next prime is 3440140411. The reversal of 3440140400 is 40410443.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100721 + ... + 130479.

Almost surely, 2^3440140400 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 3440140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390001760).

3440140400 is an abundant number, since it is smaller than the sum of its proper divisors (5339863120).

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

3440140400 is a wasteful number, since it uses less digits than its factorization.

3440140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29811 (or 29783 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3440140400 is about 58652.7100823142. The cubic root of 3440140400 is about 1509.5889997305.

Adding to 3440140400 its reverse (40410443), we get a palindrome (3480550843).

The spelling of 3440140400 in words is "three billion, four hundred forty million, one hundred forty thousand, four hundred".