36886464 has 84 divisors (see below), whose sum is σ = 111977424. Its totient is φ = 11569152.

The previous prime is 36886453. The next prime is 36886469. The reversal of 36886464 is 46468863.

It is a super-2 number, since 2×36886464² = 2721222452846592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36886469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7909 + ... + 11675.

Almost surely, 2^36886464 is an apocalyptic number.

36886464 is a gapful number since it is divisible by the number (34) 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 36886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55988712).

36886464 is an abundant number, since it is smaller than the sum of its proper divisors (75090960).

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

36886464 is a wasteful number, since it uses less digits than its factorization.

36886464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3789 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 36886464 is about 6073.4227582147. The cubic root of 36886464 is about 332.8810006854.

The spelling of 36886464 in words is "thirty-six million, eight hundred eighty-six thousand, four hundred sixty-four".