36769480 has 96 divisors (see below), whose sum is σ = 93078720. Its totient is φ = 13059200.

The previous prime is 36769471. The next prime is 36769489. The reversal of 36769480 is 8496763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36769471) and next prime (36769489).

It is not an unprimeable number, because it can be changed into a prime (36769489) 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, 343587 + ... + 343693.

It is an arithmetic number, because the mean of its divisors is an integer number (969570).

Almost surely, 2^36769480 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 36769480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46539360).

36769480 is an abundant number, since it is smaller than the sum of its proper divisors (56309240).

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

36769480 is a wasteful number, since it uses less digits than its factorization.

36769480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 36769480 is about 6063.7842969552. The cubic root of 36769480 is about 332.5287215847.

It can be divided in two parts, 36769 and 480, that added together give a square (37249 = 193²).

The spelling of 36769480 in words is "thirty-six million, seven hundred sixty-nine thousand, four hundred eighty".