36420480 has 96 divisors (see below), whose sum is σ = 125784360. Its totient is φ = 9710592.

The previous prime is 36420437. The next prime is 36420533. The reversal of 36420480 is 8402463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2599 + ... + 8921.

Almost surely, 2^36420480 is an apocalyptic number.

36420480 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 36420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62892180).

36420480 is an abundant number, since it is smaller than the sum of its proper divisors (89363880).

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

36420480 is a wasteful number, since it uses less digits than its factorization.

36420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 36420480 is about 6034.9382764035. The cubic root of 36420480 is about 331.4733023823.

The spelling of 36420480 in words is "thirty-six million, four hundred twenty thousand, four hundred eighty".