36880416 has 72 divisors (see below), whose sum is σ = 107744364. Its totient is φ = 11957760.

The previous prime is 36880397. The next prime is 36880427. The reversal of 36880416 is 61408863.

It is a happy number.

36880416 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 36723600 + 156816 = 6060^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8926 + ... + 12386.

Almost surely, 2^36880416 is an apocalyptic number.

36880416 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 36880416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53872182).

36880416 is an abundant number, since it is smaller than the sum of its proper divisors (70863948).

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

36880416 is a wasteful number, since it uses less digits than its factorization.

36880416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36880416 is about 6072.9248307549. The cubic root of 36880416 is about 332.8628063478.

The spelling of 36880416 in words is "thirty-six million, eight hundred eighty thousand, four hundred sixteen".