3069830400 has 648 divisors, whose sum is σ = 12742246944. Its totient is φ = 645120000.

The previous prime is 3069830359. The next prime is 3069830419. The reversal of 3069830400 is 40389603.

3069830400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12230275 + ... + 12230525.

Almost surely, 2^3069830400 is an apocalyptic number.

3069830400 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 3069830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371123472).

3069830400 is an abundant number, since it is smaller than the sum of its proper divisors (9672416544).

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

3069830400 is a wasteful number, since it uses less digits than its factorization.

3069830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3069830400 is about 55406.0502111457. The cubic root of 3069830400 is about 1453.3541692904.

The spelling of 3069830400 in words is "three billion, sixty-nine million, eight hundred thirty thousand, four hundred".