3760640 has 80 divisors (see below), whose sum is σ = 9796248. Its totient is φ = 1376256.

The previous prime is 3760639. The next prime is 3760693. The reversal of 3760640 is 460673.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 2611456 = 1072^2 + 1616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33224 + ... + 33336.

Almost surely, 2^3760640 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 3760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898124).

3760640 is an abundant number, since it is smaller than the sum of its proper divisors (6035608).

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

3760640 is a wasteful number, since it uses less digits than its factorization.

3760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3760640 is about 1939.2369633441. The cubic root of 3760640 is about 155.5084241188.

The spelling of 3760640 in words is "three million, seven hundred sixty thousand, six hundred forty".