34484861400 has 384 divisors, whose sum is σ = 122220748800. Its totient is φ = 7961817600.

The previous prime is 34484861399. The next prime is 34484861419. The reversal of 34484861400 is 416848443.

It is a Cunningham number, because it is equal to 185701²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55710291 + ... + 55710909.

It is an arithmetic number, because the mean of its divisors is an integer number (318283200).

Almost surely, 2^34484861400 is an apocalyptic number.

34484861400 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 34484861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61110374400).

34484861400 is an abundant number, since it is smaller than the sum of its proper divisors (87735887400).

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

34484861400 is a wasteful number, since it uses less digits than its factorization.

With its successor (34484861401) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1030).

34484861400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 34484861400 in words is "thirty-four billion, four hundred eighty-four million, eight hundred sixty-one thousand, four hundred".