6834938400 has 432 divisors, whose sum is σ = 26871717600. Its totient is φ = 1624596480.

The previous prime is 6834938393. The next prime is 6834938423. The reversal of 6834938400 is 48394386.

6834938400 is a `hidden beast` number, since 6 + 83 + 493 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2324131 + ... + 2327069.

It is an arithmetic number, because the mean of its divisors is an integer number (62203050).

Almost surely, 2^6834938400 is an apocalyptic number.

6834938400 is a gapful number since it is divisible by the number (60) 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 6834938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13435858800).

6834938400 is an abundant number, since it is smaller than the sum of its proper divisors (20036779200).

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

6834938400 is a wasteful number, since it uses less digits than its factorization.

6834938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6834938400 is about 82673.6862611073. The cubic root of 6834938400 is about 1897.7756425428.

The spelling of 6834938400 in words is "six billion, eight hundred thirty-four million, nine hundred thirty-eight thousand, four hundred".