36432480 has 144 divisors (see below), whose sum is σ = 133585200. Its totient is φ = 8322048.

The previous prime is 36432463. The next prime is 36432491. The reversal of 36432480 is 8423463.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22746 + ... + 24294.

It is an arithmetic number, because the mean of its divisors is an integer number (927675).

Almost surely, 2^36432480 is an apocalyptic number.

36432480 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 36432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66792600).

36432480 is an abundant number, since it is smaller than the sum of its proper divisors (97152720).

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

36432480 is a wasteful number, since it uses less digits than its factorization.

36432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 36432480 is about 6035.9324051881. The cubic root of 36432480 is about 331.5097035395.

The spelling of 36432480 in words is "thirty-six million, four hundred thirty-two thousand, four hundred eighty".