36278820 has 144 divisors (see below), whose sum is σ = 118917120. Its totient is φ = 9180864.

The previous prime is 36278819. The next prime is 36278831. The reversal of 36278820 is 2887263.

It is a happy number.

36278820 is a `hidden beast` number, since 3 + 627 + 8 + 8 + 20 = 666.

It is a super-4 number, since 4×36278820⁴ (a number of 31 digits) contains 4444 as substring.

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

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, 285597 + ... + 285723.

Almost surely, 2^36278820 is an apocalyptic number.

36278820 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 36278820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59458560).

36278820 is an abundant number, since it is smaller than the sum of its proper divisors (82638300).

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

36278820 is a wasteful number, since it uses less digits than its factorization.

36278820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 160 counting only the distinct ones).

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

The square root of 36278820 is about 6023.1901846115. The cubic root of 36278820 is about 331.0429811261.

The spelling of 36278820 in words is "thirty-six million, two hundred seventy-eight thousand, eight hundred twenty".