3474781200 has 360 divisors, whose sum is σ = 13599303200. Its totient is φ = 842054400.

The previous prime is 3474781187. The next prime is 3474781207. The reversal of 3474781200 is 21874743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (3474781207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1305471 + ... + 1308129.

Almost surely, 2^3474781200 is an apocalyptic number.

3474781200 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 3474781200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799651600).

3474781200 is an abundant number, since it is smaller than the sum of its proper divisors (10124522000).

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

3474781200 is a wasteful number, since it uses less digits than its factorization.

3474781200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3474781200 is about 58947.2747461662. The cubic root of 3474781200 is about 1514.6390670425.

The spelling of 3474781200 in words is "three billion, four hundred seventy-four million, seven hundred eighty-one thousand, two hundred".