3008919420 has 384 divisors, whose sum is σ = 11244441600. Its totient is φ = 659902464.

The previous prime is 3008919391. The next prime is 3008919443. The reversal of 3008919420 is 249198003.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2266797 + ... + 2268123.

It is an arithmetic number, because the mean of its divisors is an integer number (29282400).

Almost surely, 2^3008919420 is an apocalyptic number.

3008919420 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 3008919420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622220800).

3008919420 is an abundant number, since it is smaller than the sum of its proper divisors (8235522180).

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

3008919420 is a wasteful number, since it uses less digits than its factorization.

3008919420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3008919420 is about 54853.6181122084. The cubic root of 3008919420 is about 1443.6774927324.

The spelling of 3008919420 in words is "three billion, eight million, nine hundred nineteen thousand, four hundred twenty".