3768480 has 72 divisors (see below), whose sum is σ = 12864852. Its totient is φ = 1004544.

The previous prime is 3768473. The next prime is 3768493. The reversal of 3768480 is 848673.

It can be written as a sum of positive squares in 2 ways, for example, as 3549456 + 219024 = 1884^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 132 + ... + 2748.

Almost surely, 2^3768480 is an apocalyptic number.

3768480 is a gapful number since it is divisible by the number (30) 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 3768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432426).

3768480 is an abundant number, since it is smaller than the sum of its proper divisors (9096372).

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

3768480 is a wasteful number, since it uses less digits than its factorization.

3768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3768480 is about 1941.2573245193. The cubic root of 3768480 is about 155.6164145842.

The spelling of 3768480 in words is "three million, seven hundred sixty-eight thousand, four hundred eighty".