36426240 has 320 divisors, whose sum is σ = 141419520. Its totient is φ = 8847360.

The previous prime is 36426199. The next prime is 36426251. The reversal of 36426240 is 4262463.

36426240 is a `hidden beast` number, since 36 + 4 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175025 + ... + 1175055.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^36426240 is an apocalyptic number.

36426240 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 36426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

36426240 is an abundant number, since it is smaller than the sum of its proper divisors (104993280).

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

36426240 is a wasteful number, since it uses less digits than its factorization.

36426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 36426240 is about 6035.4154786560. The cubic root of 36426240 is about 331.4907759355.

The spelling of 36426240 in words is "thirty-six million, four hundred twenty-six thousand, two hundred forty".