3444736680 has 512 divisors, whose sum is σ = 14946508800. Its totient is φ = 684288000.

The previous prime is 3444736679. The next prime is 3444736693. The reversal of 3444736680 is 866374443.

3444736680 is a `hidden beast` number, since 3 + 44 + 473 + 66 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1911780 + ... + 1913580.

It is an arithmetic number, because the mean of its divisors is an integer number (29192400).

Almost surely, 2^3444736680 is an apocalyptic number.

3444736680 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 3444736680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473254400).

3444736680 is an abundant number, since it is smaller than the sum of its proper divisors (11501772120).

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

3444736680 is a wasteful number, since it uses less digits than its factorization.

3444736680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3444736680 is about 58691.8791656904. The cubic root of 3444736680 is about 1510.2610077593.

It can be divided in two parts, 344473 and 6680, that added together give a palindrome (351153).

The spelling of 3444736680 in words is "three billion, four hundred forty-four million, seven hundred thirty-six thousand, six hundred eighty".