3007673340 has 192 divisors, whose sum is σ = 9784018944. Its totient is φ = 676196352.

The previous prime is 3007673327. The next prime is 3007673341. The reversal of 3007673340 is 433767003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007673341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9609024 + ... + 9609336.

It is an arithmetic number, because the mean of its divisors is an integer number (50958432).

Almost surely, 2^3007673340 is an apocalyptic number.

3007673340 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 3007673340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892009472).

3007673340 is an abundant number, since it is smaller than the sum of its proper divisors (6776345604).

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

3007673340 is a wasteful number, since it uses less digits than its factorization.

3007673340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 33.

The square root of 3007673340 is about 54842.2587062203. The cubic root of 3007673340 is about 1443.4781757699.

The spelling of 3007673340 in words is "three billion, seven million, six hundred seventy-three thousand, three hundred forty".