3440012100 has 144 divisors (see below), whose sum is σ = 11682668928. Its totient is φ = 765020160.

The previous prime is 3440012039. The next prime is 3440012119. The reversal of 3440012100 is 12100443.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3440012100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55564 + ... + 99836.

Almost surely, 2^3440012100 is an apocalyptic number.

3440012100 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 3440012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841334464).

3440012100 is an abundant number, since it is smaller than the sum of its proper divisors (8242656828).

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

3440012100 is a wasteful number, since it uses less digits than its factorization.

3440012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44334 (or 44327 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3440012100 is about 58651.6163460139. The cubic root of 3440012100 is about 1509.5702327952.

Adding to 3440012100 its reverse (12100443), we get a palindrome (3452112543).

The spelling of 3440012100 in words is "three billion, four hundred forty million, twelve thousand, one hundred".