3004374240 has 864 divisors, whose sum is σ = 13175809920. Its totient is φ = 642733056.

The previous prime is 3004374229. The next prime is 3004374281. The reversal of 3004374240 is 424734003.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36197239 + ... + 36197321.

It is an arithmetic number, because the mean of its divisors is an integer number (15249780).

Almost surely, 2^3004374240 is an apocalyptic number.

3004374240 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 3004374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587904960).

3004374240 is an abundant number, since it is smaller than the sum of its proper divisors (10171435680).

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

3004374240 is a wasteful number, since it uses less digits than its factorization.

3004374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 3004374240 is about 54812.1723707426. The cubic root of 3004374240 is about 1442.9502016433.

The spelling of 3004374240 in words is "three billion, four million, three hundred seventy-four thousand, two hundred forty".