36771408 has 100 divisors (see below), whose sum is σ = 112755060. Its totient is φ = 11529216.

The previous prime is 36771401. The next prime is 36771421. The reversal of 36771408 is 80417763.

It can be written as a sum of positive squares in 2 ways, for example, as 24324624 + 12446784 = 4932^2 + 3528^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36771401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21198 + ... + 22866.

Almost surely, 2^36771408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36771408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56377530).

36771408 is an abundant number, since it is smaller than the sum of its proper divisors (75983652).

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

36771408 is a wasteful number, since it uses less digits than its factorization.

36771408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 36771408 is about 6063.9432715025. The cubic root of 36771408 is about 332.5345335078.

The spelling of 36771408 in words is "thirty-six million, seven hundred seventy-one thousand, four hundred eight".