3034828396800 has 648 divisors, whose sum is σ = 11144995112160. Its totient is φ = 787407667200.

The previous prime is 3034828396729. The next prime is 3034828396889. The reversal of 3034828396800 is 86938284303.

It is a happy number.

3034828396800 is a `hidden beast` number, since 3 + 0 + 3 + 482 + 83 + 9 + 6 + 80 + 0 = 666.

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, 989508867 + ... + 989511933.

Almost surely, 2^{3034828396800} is an apocalyptic number.

3034828396800 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 3034828396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572497556080).

3034828396800 is an abundant number, since it is smaller than the sum of its proper divisors (8110166715360).

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

3034828396800 is a wasteful number, since it uses less digits than its factorization.

3034828396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3034828396800 in words is "three trillion, thirty-four billion, eight hundred twenty-eight million, three hundred ninety-six thousand, eight hundred".