36478080 has 128 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 9722880.

The previous prime is 36478067. The next prime is 36478109. The reversal of 36478080 is 8087463.

36478080 is a `hidden beast` number, since 3 + 647 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16225 + ... + 18335.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 2^36478080 is an apocalyptic number.

36478080 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 36478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

36478080 is an abundant number, since it is smaller than the sum of its proper divisors (92776320).

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

36478080 is a wasteful number, since it uses less digits than its factorization.

36478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 36478080 is about 6039.7086022423. The cubic root of 36478080 is about 331.6479550846.

The spelling of 36478080 in words is "thirty-six million, four hundred seventy-eight thousand, eighty".