3040208640 has 720 divisors, whose sum is σ = 12821276160. Its totient is φ = 673505280.

The previous prime is 3040208623. The next prime is 3040208641. The reversal of 3040208640 is 468020403.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040208641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42819805 + ... + 42819875.

It is an arithmetic number, because the mean of its divisors is an integer number (17807328).

Almost surely, 2^3040208640 is an apocalyptic number.

3040208640 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 3040208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410638080).

3040208640 is an abundant number, since it is smaller than the sum of its proper divisors (9781067520).

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

3040208640 is an equidigital number, since it uses as much as digits as its factorization.

3040208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3040208640 is about 55138.0870179588. The cubic root of 3040208640 is about 1448.6644285478.

The spelling of 3040208640 in words is "three billion, forty million, two hundred eight thousand, six hundred forty".