3764960 has 24 divisors (see below), whose sum is σ = 8895096. Its totient is φ = 1505920.

The previous prime is 3764953. The next prime is 3764993. The reversal of 3764960 is 694673.

3764960 = T₄₆₉ + T₄₇₀ + ... + T₅₀₀.

3764960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3764960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11606 + ... + 11925.

It is an arithmetic number, because the mean of its divisors is an integer number (370629).

Almost surely, 2^3764960 is an apocalyptic number.

It is an amenable number.

3764960 is an abundant number, since it is smaller than the sum of its proper divisors (5130136).

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

3764960 is a wasteful number, since it uses less digits than its factorization.

3764960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23546 (or 23538 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 3764960 is about 1940.3504838044. The cubic root of 3764960 is about 155.5679476144.

The spelling of 3764960 in words is "three million, seven hundred sixty-four thousand, nine hundred sixty".