3473198400 has 252 divisors, whose sum is σ = 13256288448. Its totient is φ = 793820160.

The previous prime is 3473198363. The next prime is 3473198441. The reversal of 3473198400 is 48913743.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 227817 + ... + 242583.

Almost surely, 2^3473198400 is an apocalyptic number.

3473198400 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 3473198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628144224).

3473198400 is an abundant number, since it is smaller than the sum of its proper divisors (9783090048).

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

3473198400 is a wasteful number, since it uses less digits than its factorization.

3473198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14806 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3473198400 is about 58933.8476598974. The cubic root of 3473198400 is about 1514.4090540164.

The spelling of 3473198400 in words is "three billion, four hundred seventy-three million, one hundred ninety-eight thousand, four hundred".