3434666400 has 432 divisors, whose sum is σ = 13995229248. Its totient is φ = 783360000.

The previous prime is 3434666363. The next prime is 3434666441. The reversal of 3434666400 is 46664343.

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

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, 1345125 + ... + 1347675.

It is an arithmetic number, because the mean of its divisors is an integer number (32396364).

Almost surely, 2^3434666400 is an apocalyptic number.

3434666400 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 3434666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997614624).

3434666400 is an abundant number, since it is smaller than the sum of its proper divisors (10560562848).

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

3434666400 is a wasteful number, since it uses less digits than its factorization.

3434666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3434666400 is about 58606.0269938169. The cubic root of 3434666400 is about 1508.7878815496.

It can be divided in two parts, 343466 and 6400, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 3434666400 in words is "three billion, four hundred thirty-four million, six hundred sixty-six thousand, four hundred".