36477480 has 128 divisors (see below), whose sum is σ = 119952000. Its totient is φ = 8819712.

The previous prime is 36477439. The next prime is 36477481. The reversal of 36477480 is 8477463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (36477481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104346 + ... + 104694.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 2^36477480 is an apocalyptic number.

36477480 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 36477480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976000).

36477480 is an abundant number, since it is smaller than the sum of its proper divisors (83474520).

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

36477480 is a wasteful number, since it uses less digits than its factorization.

36477480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 36477480 is about 6039.6589307675. The cubic root of 36477480 is about 331.6461367336.

The spelling of 36477480 in words is "thirty-six million, four hundred seventy-seven thousand, four hundred eighty".