36354816 has 108 divisors (see below), whose sum is σ = 108413760. Its totient is φ = 11704320.

The previous prime is 36354811. The next prime is 36354821. The reversal of 36354816 is 61845363.

36354816 is a `hidden beast` number, since 3 + 635 + 4 + 8 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (36354811) and next prime (36354821).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36354811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71170 + ... + 71678.

Almost surely, 2^36354816 is an apocalyptic number.

36354816 is a gapful number since it is divisible by the number (36) 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 36354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54206880).

36354816 is an abundant number, since it is smaller than the sum of its proper divisors (72058944).

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

36354816 is a wasteful number, since it uses less digits than its factorization.

36354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 36354816 is about 6029.4955012837. The cubic root of 36354816 is about 331.2739735349.

The spelling of 36354816 in words is "thirty-six million, three hundred fifty-four thousand, eight hundred sixteen".