34483992883200 has 6240 divisors, whose sum is σ = 169893868953600. Its totient is φ = 6866966937600.

The previous prime is 34483992883147. The next prime is 34483992883237. The reversal of 34483992883200 is 238829938443.

34483992883200 is a `hidden beast` number, since 3 + 448 + 3 + 9 + 92 + 8 + 83 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1112386867185 + ... + 1112386867215.

Almost surely, 2^{34483992883200} is an apocalyptic number.

34483992883200 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 34483992883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84946934476800).

34483992883200 is an abundant number, since it is smaller than the sum of its proper divisors (135409876070400).

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

34483992883200 is a wasteful number, since it uses less digits than its factorization.

34483992883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 34483992883200 in words is "thirty-four trillion, four hundred eighty-three billion, nine hundred ninety-two million, eight hundred eighty-three thousand, two hundred".