36276240 has 320 divisors, whose sum is σ = 151990272. Its totient is φ = 6912000.

The previous prime is 36276239. The next prime is 36276343. The reversal of 36276240 is 4267263.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 36276198 and 36276207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240165 + ... + 240315.

Almost surely, 2^36276240 is an apocalyptic number.

36276240 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 36276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75995136).

36276240 is an abundant number, since it is smaller than the sum of its proper divisors (115714032).

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

36276240 is a wasteful number, since it uses less digits than its factorization.

36276240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 36276240 is about 6022.9760085858. The cubic root of 36276240 is about 331.0351334697.

The spelling of 36276240 in words is "thirty-six million, two hundred seventy-six thousand, two hundred forty".