36286440 has 64 divisors (see below), whose sum is σ = 109762560. Its totient is φ = 9596160.

The previous prime is 36286429. The next prime is 36286441. The reversal of 36286440 is 4468263.

It is a super-3 number, since 3×36286440³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (36286441) 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, 14050 + ... + 16430.

It is an arithmetic number, because the mean of its divisors is an integer number (1715040).

Almost surely, 2^36286440 is an apocalyptic number.

36286440 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 36286440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54881280).

36286440 is an abundant number, since it is smaller than the sum of its proper divisors (73476120).

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

36286440 is a wasteful number, since it uses less digits than its factorization.

36286440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 36286440 is about 6023.8227065544. The cubic root of 36286440 is about 331.0661569160.

The spelling of 36286440 in words is "thirty-six million, two hundred eighty-six thousand, four hundred forty".