36408240 has 120 divisors (see below), whose sum is σ = 133415568. Its totient is φ = 8824320.

The previous prime is 36408217. The next prime is 36408247. The reversal of 36408240 is 4280463.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (36408247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5622 + ... + 10218.

Almost surely, 2^36408240 is an apocalyptic number.

36408240 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 36408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66707784).

36408240 is an abundant number, since it is smaller than the sum of its proper divisors (97007328).

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

36408240 is a wasteful number, since it uses less digits than its factorization.

36408240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 36408240 is about 6033.9240963075. The cubic root of 36408240 is about 331.4361649639.

The spelling of 36408240 in words is "thirty-six million, four hundred eight thousand, two hundred forty".