36354240 has 168 divisors, whose sum is σ = 134800848. Its totient is φ = 8939520.

The previous prime is 36354233. The next prime is 36354251. The reversal of 36354240 is 4245363.

36354240 is a `hidden beast` number, since 3 + 635 + 4 + 24 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36955 + ... + 37925.

It is an arithmetic number, because the mean of its divisors is an integer number (802386).

Almost surely, 2^36354240 is an apocalyptic number.

36354240 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 36354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67400424).

36354240 is an abundant number, since it is smaller than the sum of its proper divisors (98446608).

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

36354240 is a wasteful number, since it uses less digits than its factorization.

36354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 36354240 is about 6029.4477359042. The cubic root of 36354240 is about 331.2722239747.

It can be divided in two parts, 3635 and 4240, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 36354240 in words is "thirty-six million, three hundred fifty-four thousand, two hundred forty".