3073936320 has 672 divisors, whose sum is σ = 13406859648. Its totient is φ = 629047296.

The previous prime is 3073936319. The next prime is 3073936363. The reversal of 3073936320 is 236393703.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9696802 + ... + 9697118.

It is an arithmetic number, because the mean of its divisors is an integer number (19950684).

Almost surely, 2^3073936320 is an apocalyptic number.

3073936320 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 3073936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703429824).

3073936320 is an abundant number, since it is smaller than the sum of its proper divisors (10332923328).

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

3073936320 is a wasteful number, since it uses less digits than its factorization.

3073936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 36.

The square root of 3073936320 is about 55443.0908229330. The cubic root of 3073936320 is about 1454.0018378029.

The spelling of 3073936320 in words is "three billion, seventy-three million, nine hundred thirty-six thousand, three hundred twenty".