3473618400 has 432 divisors, whose sum is σ = 14348644128. Its totient is φ = 774604800.

The previous prime is 3473618363. The next prime is 3473618411. The reversal of 3473618400 is 48163743.

3473618400 is a `hidden beast` number, since 3 + 473 + 6 + 184 + 0 + 0 = 666.

3473618400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84722380 + ... + 84722420.

It is an arithmetic number, because the mean of its divisors is an integer number (33214454).

Almost surely, 2^3473618400 is an apocalyptic number.

3473618400 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 3473618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174322064).

3473618400 is an abundant number, since it is smaller than the sum of its proper divisors (10875025728).

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

3473618400 is an equidigital number, since it uses as much as digits as its factorization.

3473618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3473618400 is about 58937.4108694978. The cubic root of 3473618400 is about 1514.4700953672.

The spelling of 3473618400 in words is "three billion, four hundred seventy-three million, six hundred eighteen thousand, four hundred".