3042588672 has 144 divisors (see below), whose sum is σ = 9170899920. Its totient is φ = 969965568.

The previous prime is 3042588671. The next prime is 3042588673. The reversal of 3042588672 is 2768852403.

3042588672 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 588 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3042588671) and next prime (3042588673).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042588671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420348 + ... + 427524.

It is an arithmetic number, because the mean of its divisors is an integer number (63686805).

Almost surely, 2^3042588672 is an apocalyptic number.

3042588672 is a gapful number since it is divisible by the number (32) 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 3042588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585449960).

3042588672 is an abundant number, since it is smaller than the sum of its proper divisors (6128311248).

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

3042588672 is a wasteful number, since it uses less digits than its factorization.

3042588672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3042588672 is about 55159.6652636689. The cubic root of 3042588672 is about 1449.0423596674.

The spelling of 3042588672 in words is "three billion, forty-two million, five hundred eighty-eight thousand, six hundred seventy-two".