36294048 has 192 divisors, whose sum is σ = 128459520. Its totient is φ = 9732096.

The previous prime is 36294043. The next prime is 36294053. The reversal of 36294048 is 84049263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36294043) and next prime (36294053).

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 (36294043) 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 31 ways as a sum of consecutive naturals, for example, 102640 + ... + 102992.

It is an arithmetic number, because the mean of its divisors is an integer number (669060).

Almost surely, 2^36294048 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 36294048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64229760).

36294048 is an abundant number, since it is smaller than the sum of its proper divisors (92165472).

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

36294048 is a wasteful number, since it uses less digits than its factorization.

36294048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36294048 is about 6024.4541661465. The cubic root of 36294048 is about 331.0892929718.

The spelling of 36294048 in words is "thirty-six million, two hundred ninety-four thousand, forty-eight".