1353044736 has 180 divisors, whose sum is σ = 4211433072. Its totient is φ = 431253504.

The previous prime is 1353044729. The next prime is 1353044801. The reversal of 1353044736 is 6374403531.

1353044736 is a `hidden beast` number, since 13 + 530 + 44 + 73 + 6 = 666.

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 1353044736.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 475510 + ... + 478346.

Almost surely, 2^1353044736 is an apocalyptic number.

1353044736 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 1353044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105716536).

1353044736 is an abundant number, since it is smaller than the sum of its proper divisors (2858388336).

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

1353044736 is an equidigital number, since it uses as much as digits as its factorization.

1353044736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 1353044736 is about 36783.7564150265. The cubic root of 1353044736 is about 1106.0397074559.

The spelling of 1353044736 in words is "one billion, three hundred fifty-three million, forty-four thousand, seven hundred thirty-six".