3473946800 has 120 divisors (see below), whose sum is σ = 8654719872. Its totient is φ = 1338624000.

The previous prime is 3473946799. The next prime is 3473946803. The reversal of 3473946800 is 86493743.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3473946803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483902 + ... + 3484898.

Almost surely, 2^3473946800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3473946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327359936).

3473946800 is an abundant number, since it is smaller than the sum of its proper divisors (5180773072).

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

3473946800 is a wasteful number, since it uses less digits than its factorization.

3473946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 3473946800 is about 58940.1968099870. The cubic root of 3473946800 is about 1514.5178204624.

The spelling of 3473946800 in words is "three billion, four hundred seventy-three million, nine hundred forty-six thousand, eight hundred".