3007494144 has 192 divisors, whose sum is σ = 8996551200. Its totient is φ = 992673792.

The previous prime is 3007494121. The next prime is 3007494179. The reversal of 3007494144 is 4414947003.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 3007494099 and 3007494108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7575354 + ... + 7575750.

Almost surely, 2^3007494144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3007494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498275600).

3007494144 is an abundant number, since it is smaller than the sum of its proper divisors (5989057056).

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

3007494144 is a wasteful number, since it uses less digits than its factorization.

3007494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3007494144 is about 54840.6249417346. The cubic root of 3007494144 is about 1443.4495079123.

The spelling of 3007494144 in words is "three billion, seven million, four hundred ninety-four thousand, one hundred forty-four".