3474835200 has 270 divisors, whose sum is σ = 12849965744. Its totient is φ = 926484480.

The previous prime is 3474835181. The next prime is 3474835201. The reversal of 3474835200 is 25384743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3474835201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 515049 + ... + 521751.

Almost surely, 2^3474835200 is an apocalyptic number.

3474835200 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 3474835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424982872).

3474835200 is an abundant number, since it is smaller than the sum of its proper divisors (9375130544).

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

3474835200 is an equidigital number, since it uses as much as digits as its factorization.

3474835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6741 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3474835200 is about 58947.7327808288. The cubic root of 3474835200 is about 1514.6469131083.

The spelling of 3474835200 in words is "three billion, four hundred seventy-four million, eight hundred thirty-five thousand, two hundred".