36705240 has 384 divisors, whose sum is σ = 150958080. Its totient is φ = 7603200.

The previous prime is 36705239. The next prime is 36705259. The reversal of 36705240 is 4250763.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184025 + ... + 1184055.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^36705240 is an apocalyptic number.

36705240 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 36705240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

36705240 is an abundant number, since it is smaller than the sum of its proper divisors (114252840).

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

36705240 is a wasteful number, since it uses less digits than its factorization.

36705240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 36705240 is about 6058.4849591296. The cubic root of 36705240 is about 332.3349549293.

The spelling of 36705240 in words is "thirty-six million, seven hundred five thousand, two hundred forty".