36801864 has 96 divisors (see below), whose sum is σ = 112825440. Its totient is φ = 11145600.

The previous prime is 36801847. The next prime is 36801881. The reversal of 36801864 is 46810863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36801847) and next prime (36801881).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20524 + ... + 22244.

It is an arithmetic number, because the mean of its divisors is an integer number (1175265).

Almost surely, 2^36801864 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 36801864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56412720).

36801864 is an abundant number, since it is smaller than the sum of its proper divisors (76023576).

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

36801864 is a wasteful number, since it uses less digits than its factorization.

36801864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1737 counting only the distinct ones).

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

The square root of 36801864 is about 6066.4539889461. The cubic root of 36801864 is about 332.6263156605.

The spelling of 36801864 in words is "thirty-six million, eight hundred one thousand, eight hundred sixty-four".