36740448 has 144 divisors (see below), whose sum is σ = 111449520. Its totient is φ = 11461632.

The previous prime is 36740443. The next prime is 36740479. The reversal of 36740448 is 84404763.

It is a tau number, because it is divible by the number of its divisors (144).

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 (36740443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442615 + ... + 442697.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^36740448 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 36740448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55724760).

36740448 is an abundant number, since it is smaller than the sum of its proper divisors (74709072).

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

36740448 is a wasteful number, since it uses less digits than its factorization.

36740448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 36740448 is about 6061.3899396096. The cubic root of 36740448 is about 332.4411805427.

The spelling of 36740448 in words is "thirty-six million, seven hundred forty thousand, four hundred forty-eight".