36146484 has 72 divisors (see below), whose sum is σ = 102412128. Its totient is φ = 10653120.

The previous prime is 36146483. The next prime is 36146489. The reversal of 36146484 is 48464163.

36146484 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 648 + 4 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36146483) 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, 13419 + ... + 15885.

Almost surely, 2^36146484 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 36146484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206064).

36146484 is an abundant number, since it is smaller than the sum of its proper divisors (66265644).

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

36146484 is a wasteful number, since it uses less digits than its factorization.

36146484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2520 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 36146484 is about 6012.1946076287. The cubic root of 36146484 is about 330.6399702223.

The spelling of 36146484 in words is "thirty-six million, one hundred forty-six thousand, four hundred eighty-four".