36481280 has 72 divisors (see below), whose sum is σ = 95364864. Its totient is φ = 13260800.

The previous prime is 36481279. The next prime is 36481283. The reversal of 36481280 is 8218463.

It is a super-3 number, since 3×36481280³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (36481283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12785 + ... + 15375.

It is an arithmetic number, because the mean of its divisors is an integer number (1324512).

Almost surely, 2^36481280 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 36481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47682432).

36481280 is an abundant number, since it is smaller than the sum of its proper divisors (58883584).

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

36481280 is a wasteful number, since it uses less digits than its factorization.

36481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 36481280 is about 6039.9735098757. The cubic root of 36481280 is about 331.6576526201.

The spelling of 36481280 in words is "thirty-six million, four hundred eighty-one thousand, two hundred eighty".