36541440 has 264 divisors, whose sum is σ = 138590088. Its totient is φ = 8847360.

The previous prime is 36541429. The next prime is 36541447. The reversal of 36541440 is 4414563.

36541440 is a `hidden beast` number, since 3 + 654 + 1 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 35426304 = 1056^2 + 5952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36541447) 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, 599010 + ... + 599070.

Almost surely, 2^36541440 is an apocalyptic number.

36541440 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 36541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69295044).

36541440 is an abundant number, since it is smaller than the sum of its proper divisors (102048648).

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

36541440 is a wasteful number, since it uses less digits than its factorization.

36541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 36541440 is about 6044.9516127096. The cubic root of 36541440 is about 331.8398608353.

The spelling of 36541440 in words is "thirty-six million, five hundred forty-one thousand, four hundred forty".