2834338478400 has 2016 divisors, whose sum is σ = 12636484963200. Its totient is φ = 611883417600.

The previous prime is 2834338478351. The next prime is 2834338478453. The reversal of 2834338478400 is 48748334382.

It is a happy number.

2834338478400 is a `hidden beast` number, since 28 + 3 + 433 + 84 + 78 + 40 + 0 = 666.

It is a super-2 number, since 2×2834338478400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2328954592 + ... + 2328955808.

It is an arithmetic number, because the mean of its divisors is an integer number (6268097700).

Almost surely, 2^{2834338478400} is an apocalyptic number.

2834338478400 is a gapful number since it is divisible by the number (20) 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 2834338478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318242481600).

2834338478400 is an abundant number, since it is smaller than the sum of its proper divisors (9802146484800).

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

2834338478400 is a wasteful number, since it uses less digits than its factorization.

2834338478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 2834338478400 in words is "two trillion, eight hundred thirty-four billion, three hundred thirty-eight million, four hundred seventy-eight thousand, four hundred".