36414480 has 80 divisors (see below), whose sum is σ = 114528384. Its totient is φ = 9569280.

The previous prime is 36414473. The next prime is 36414481. The reversal of 36414480 is 8441463.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (36414481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15972 + ... + 18108.

Almost surely, 2^36414480 is an apocalyptic number.

36414480 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 36414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57264192).

36414480 is an abundant number, since it is smaller than the sum of its proper divisors (78113904).

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

36414480 is a wasteful number, since it uses less digits than its factorization.

36414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 36414480 is about 6034.4411505955. The cubic root of 36414480 is about 331.4550988053.

The spelling of 36414480 in words is "thirty-six million, four hundred fourteen thousand, four hundred eighty".