3406834800 has 180 divisors, whose sum is σ = 11850859800. Its totient is φ = 906324480.

The previous prime is 3406834777. The next prime is 3406834813. The reversal of 3406834800 is 84386043.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2004351 + ... + 2006049.

It is an arithmetic number, because the mean of its divisors is an integer number (65838110).

Almost surely, 2^3406834800 is an apocalyptic number.

3406834800 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 3406834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925429900).

3406834800 is an abundant number, since it is smaller than the sum of its proper divisors (8444025000).

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

3406834800 is a wasteful number, since it uses less digits than its factorization.

3406834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3406834800 is about 58368.0974505765. The cubic root of 3406834800 is about 1504.7015151077.

The spelling of 3406834800 in words is "three billion, four hundred six million, eight hundred thirty-four thousand, eight hundred".