36407016 has 64 divisors (see below), whose sum is σ = 103622400. Its totient is φ = 11836800.

The previous prime is 36407011. The next prime is 36407017. The reversal of 36407016 is 61070463.

36407016 is a `hidden beast` number, since 3 + 640 + 7 + 0 + 16 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (36407011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6801 + ... + 10911.

It is an arithmetic number, because the mean of its divisors is an integer number (1619100).

Almost surely, 2^36407016 is an apocalyptic number.

36407016 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 36407016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51811200).

36407016 is an abundant number, since it is smaller than the sum of its proper divisors (67215384).

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

36407016 is a wasteful number, since it uses less digits than its factorization.

36407016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36407016 is about 6033.8226689222. The cubic root of 36407016 is about 331.4324507643.

Adding to 36407016 its reverse (61070463), we get a palindrome (97477479).

The spelling of 36407016 in words is "thirty-six million, four hundred seven thousand, sixteen".