36641280 has 160 divisors (see below), whose sum is σ = 126491904. Its totient is φ = 8994816.

The previous prime is 36641279. The next prime is 36641281. The reversal of 36641280 is 8214663.

It is an interprime number because it is at equal distance from previous prime (36641279) and next prime (36641281).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (36641281) 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, 99657 + ... + 100023.

Almost surely, 2^36641280 is an apocalyptic number.

36641280 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 36641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63245952).

36641280 is an abundant number, since it is smaller than the sum of its proper divisors (89850624).

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

36641280 is a wasteful number, since it uses less digits than its factorization.

36641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 36641280 is about 6053.2041102213. The cubic root of 36641280 is about 332.1418081000.

The spelling of 36641280 in words is "thirty-six million, six hundred forty-one thousand, two hundred eighty".