36801464 has 128 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 13547520.

The previous prime is 36801431. The next prime is 36801469. The reversal of 36801464 is 46410863.

It is a self number, because there is not a number n which added to its sum of digits gives 36801464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36801469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 855827 + ... + 855869.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 2^36801464 is an apocalyptic number.

36801464 is a gapful number since it is divisible by the number (34) 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 36801464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45619200).

36801464 is an abundant number, since it is smaller than the sum of its proper divisors (54436936).

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

36801464 is a wasteful number, since it uses less digits than its factorization.

36801464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 36801464 is about 6066.4210206678. The cubic root of 36801464 is about 332.6251105494.

The spelling of 36801464 in words is "thirty-six million, eight hundred one thousand, four hundred sixty-four".