3004539840 has 336 divisors, whose sum is σ = 10837322496. Its totient is φ = 763084800.

The previous prime is 3004539833. The next prime is 3004539847. The reversal of 3004539840 is 489354003.

It is an interprime number because it is at equal distance from previous prime (3004539833) and next prime (3004539847).

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

It is a junction number, because it is equal to n+sod(n) for n = 3004539795 and 3004539804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004539847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6517210 + ... + 6517670.

It is an arithmetic number, because the mean of its divisors is an integer number (32253936).

Almost surely, 2^3004539840 is an apocalyptic number.

3004539840 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 3004539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418661248).

3004539840 is an abundant number, since it is smaller than the sum of its proper divisors (7832782656).

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

3004539840 is a wasteful number, since it uses less digits than its factorization.

3004539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3004539840 is about 54813.6829632894. The cubic root of 3004539840 is about 1442.9767127839.

The spelling of 3004539840 in words is "three billion, four million, five hundred thirty-nine thousand, eight hundred forty".