36774480 has 80 divisors (see below), whose sum is σ = 115617600. Its totient is φ = 9667584.

The previous prime is 36774473. The next prime is 36774487. The reversal of 36774480 is 8447763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36774473) and next prime (36774487).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36774487) 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, 16471 + ... + 18569.

It is an arithmetic number, because the mean of its divisors is an integer number (1445220).

Almost surely, 2^36774480 is an apocalyptic number.

36774480 is a gapful number since it is divisible by the number (30) 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 36774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57808800).

36774480 is an abundant number, since it is smaller than the sum of its proper divisors (78843120).

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

36774480 is a wasteful number, since it uses less digits than its factorization.

36774480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 36774480 is about 6064.1965667350. The cubic root of 36774480 is about 332.5437935797.

It can be divided in two parts, 367 and 74480, that added together give a palindrome (74847).

The spelling of 36774480 in words is "thirty-six million, seven hundred seventy-four thousand, four hundred eighty".