3473406400 has 84 divisors (see below), whose sum is σ = 8581022208. Its totient is φ = 1383792640.

The previous prime is 3473406383. The next prime is 3473406403. The reversal of 3473406400 is 46043743.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3473406403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406977 + ... + 415423.

Almost surely, 2^3473406400 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 3473406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290511104).

3473406400 is an abundant number, since it is smaller than the sum of its proper divisors (5107615808).

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

3473406400 is a wasteful number, since it uses less digits than its factorization.

3473406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 3473406400 is about 58935.6123239591. The cubic root of 3473406400 is about 1514.4392846337.

The spelling of 3473406400 in words is "three billion, four hundred seventy-three million, four hundred six thousand, four hundred".