3764864 has 32 divisors (see below), whose sum is σ = 7629600. Its totient is φ = 1850112.

The previous prime is 3764863. The next prime is 3764879. The reversal of 3764864 is 4684673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 3¹³ + 7 + 6 + 4³ + 8⁷ + 6⁵ + 4⁸ .

It is not an unprimeable number, because it can be changed into a prime (3764863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8357 + ... + 8795.

It is an arithmetic number, because the mean of its divisors is an integer number (238425).

Almost surely, 2^3764864 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 3764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814800).

3764864 is an abundant number, since it is smaller than the sum of its proper divisors (3864736).

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

3764864 is an equidigital number, since it uses as much as digits as its factorization.

3764864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 3764864 is about 1940.3257458478. The cubic root of 3764864 is about 155.5666253649.

The spelling of 3764864 in words is "three million, seven hundred sixty-four thousand, eight hundred sixty-four".