1824116736 has 208 divisors, whose sum is σ = 5522699840. Its totient is φ = 530841600.

The previous prime is 1824116699. The next prime is 1824116753. The reversal of 1824116736 is 6376114281.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1824116694 and 1824116703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3034836 + ... + 3035436.

Almost surely, 2^1824116736 is an apocalyptic number.

1824116736 is a gapful number since it is divisible by the number (16) 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 1824116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761349920).

1824116736 is an abundant number, since it is smaller than the sum of its proper divisors (3698583104).

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

1824116736 is a wasteful number, since it uses less digits than its factorization.

1824116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 638 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 1824116736 is about 42709.6796522755. The cubic root of 1824116736 is about 1221.8490138581.

It can be divided in two parts, 1824 and 116736, that multiplied together give a square (212926464 = 14592²).

The spelling of 1824116736 in words is "one billion, eight hundred twenty-four million, one hundred sixteen thousand, seven hundred thirty-six".