3003793920 has 240 divisors, whose sum is σ = 11016359640. Its totient is φ = 753795072.

The previous prime is 3003793913. The next prime is 3003793957. The reversal of 3003793920 is 293973003.

It can be written as a sum of positive squares in 4 ways, for example, as 2999533824 + 4260096 = 54768^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387846 + ... + 395514.

Almost surely, 2^3003793920 is an apocalyptic number.

3003793920 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 3003793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508179820).

3003793920 is an abundant number, since it is smaller than the sum of its proper divisors (8012565720).

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

3003793920 is a wasteful number, since it uses less digits than its factorization.

3003793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The square root of 3003793920 is about 54806.8784004344. The cubic root of 3003793920 is about 1442.8572896961.

The spelling of 3003793920 in words is "three billion, three million, seven hundred ninety-three thousand, nine hundred twenty".