3109404672 has 360 divisors, whose sum is σ = 10305090432. Its totient is φ = 928972800.

The previous prime is 3109404671. The next prime is 3109404713. The reversal of 3109404672 is 2764049013.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3109404671) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43794397 + ... + 43794467.

Almost surely, 2^3109404672 is an apocalyptic number.

3109404672 is a gapful number since it is divisible by the number (32) 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 3109404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152545216).

3109404672 is an abundant number, since it is smaller than the sum of its proper divisors (7195685760).

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

3109404672 is an frugal number, since it uses more digits than its factorization.

3109404672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3109404672 is about 55762.0361177746. The cubic root of 3109404672 is about 1459.5727579551.

The spelling of 3109404672 in words is "three billion, one hundred nine million, four hundred four thousand, six hundred seventy-two".