36769224 has 64 divisors (see below), whose sum is σ = 96330240. Its totient is φ = 11681280.

The previous prime is 36769223. The next prime is 36769259. The reversal of 36769224 is 42296763.

It is a super-3 number, since 3×36769224³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (36769223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53974 + ... + 54650.

It is an arithmetic number, because the mean of its divisors is an integer number (1505160).

Almost surely, 2^36769224 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 36769224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48165120).

36769224 is an abundant number, since it is smaller than the sum of its proper divisors (59561016).

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

36769224 is a wasteful number, since it uses less digits than its factorization.

36769224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 36769224 is about 6063.7631879881. The cubic root of 36769224 is about 332.5279498618.

The spelling of 36769224 in words is "thirty-six million, seven hundred sixty-nine thousand, two hundred twenty-four".