3481858400 has 72 divisors (see below), whose sum is σ = 9000127080. Its totient is φ = 1310812160.

The previous prime is 3481858363. The next prime is 3481858423. The reversal of 3481858400 is 48581843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114410 + ... + 141609.

It is an arithmetic number, because the mean of its divisors is an integer number (125001765).

Almost surely, 2^3481858400 is an apocalyptic number.

It is an amenable number.

3481858400 is an abundant number, since it is smaller than the sum of its proper divisors (5518268680).

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

3481858400 is a wasteful number, since it uses less digits than its factorization.

3481858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256056 (or 256043 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 3481858400 is about 59007.2741278565. The cubic root of 3481858400 is about 1515.6666746042. Note that the first 4 decimals are identical.

The spelling of 3481858400 in words is "three billion, four hundred eighty-one million, eight hundred fifty-eight thousand, four hundred".