3474934400 has 192 divisors, whose sum is σ = 9999002880. Its totient is φ = 1168527360.

The previous prime is 3474934399. The next prime is 3474934409. The reversal of 3474934400 is 44394743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3474934409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1185737 + ... + 1188663.

It is an arithmetic number, because the mean of its divisors is an integer number (52078140).

Almost surely, 2^3474934400 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 3474934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999501440).

3474934400 is an abundant number, since it is smaller than the sum of its proper divisors (6524068480).

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

3474934400 is a wasteful number, since it uses less digits than its factorization.

3474934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 3474934400 is about 58948.5741981941. The cubic root of 3474934400 is about 1514.6613264100.

The spelling of 3474934400 in words is "three billion, four hundred seventy-four million, nine hundred thirty-four thousand, four hundred".