3038640 has 80 divisors (see below), whose sum is σ = 10285056. Its totient is φ = 736000.

The previous prime is 3038639. The next prime is 3038647. The reversal of 3038640 is 468303.

3038640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3038640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3038647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065 + ... + 3215.

Almost surely, 2^3038640 is an apocalyptic number.

3038640 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 3038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142528).

3038640 is an abundant number, since it is smaller than the sum of its proper divisors (7246416).

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

3038640 is a wasteful number, since it uses less digits than its factorization.

3038640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3038640 is about 1743.1695270398. The cubic root of 3038640 is about 144.8415232502.

The spelling of 3038640 in words is "three million, thirty-eight thousand, six hundred forty".