45344736 has 72 divisors (see below), whose sum is σ = 130646880. Its totient is φ = 14916096.

The previous prime is 45344713. The next prime is 45344779. The reversal of 45344736 is 63744354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×45344736² = 4112290165819392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45344736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21756 + ... + 23748.

It is an arithmetic number, because the mean of its divisors is an integer number (1814540).

Almost surely, 2^45344736 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 45344736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65323440).

45344736 is an abundant number, since it is smaller than the sum of its proper divisors (85302144).

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

45344736 is a wasteful number, since it uses less digits than its factorization.

45344736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2077 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 45344736 is about 6733.8500131797. The cubic root of 45344736 is about 356.5953091396.

The spelling of 45344736 in words is "forty-five million, three hundred forty-four thousand, seven hundred thirty-six".