36916992 has 216 divisors, whose sum is σ = 128158800. Its totient is φ = 10450944.

The previous prime is 36916973. The next prime is 36916993. The reversal of 36916992 is 29961963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36916993) 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, 338634 + ... + 338742.

Almost surely, 2^36916992 is an apocalyptic number.

36916992 is a gapful number since it is divisible by the number (32) 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 36916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64079400).

36916992 is an abundant number, since it is smaller than the sum of its proper divisors (91241808).

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

36916992 is a wasteful number, since it uses less digits than its factorization.

36916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 36916992 is about 6075.9354835284. The cubic root of 36916992 is about 332.9728084282.

The spelling of 36916992 in words is "thirty-six million, nine hundred sixteen thousand, nine hundred ninety-two".