36438480 has 240 divisors, whose sum is σ = 140147280. Its totient is φ = 8404992.

The previous prime is 36438431. The next prime is 36438491. The reversal of 36438480 is 8483463.

36438480 is a `hidden beast` number, since 3 + 643 + 8 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 725904 + 35712576 = 852^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 159006 + ... + 159234.

It is an arithmetic number, because the mean of its divisors is an integer number (583947).

Almost surely, 2^36438480 is an apocalyptic number.

36438480 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 36438480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70073640).

36438480 is an abundant number, since it is smaller than the sum of its proper divisors (103708800).

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

36438480 is a wasteful number, since it uses less digits than its factorization.

36438480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 36438480 is about 6036.4294081849. The cubic root of 36438480 is about 331.5279011207.

It can be divided in two parts, 36 and 438480, that added together give a triangular number (438516 = T₉₃₆).

The spelling of 36438480 in words is "thirty-six million, four hundred thirty-eight thousand, four hundred eighty".