3481423200 has 576 divisors, whose sum is σ = 14061600000. Its totient is φ = 826122240.

The previous prime is 3481423199. The next prime is 3481423213. The reversal of 3481423200 is 23241843.

3481423200 is a `hidden beast` number, since 34 + 8 + 1 + 423 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6976551 + ... + 6977049.

It is an arithmetic number, because the mean of its divisors is an integer number (24412500).

Almost surely, 2^3481423200 is an apocalyptic number.

3481423200 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 3481423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800000).

3481423200 is an abundant number, since it is smaller than the sum of its proper divisors (10580176800).

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

3481423200 is a wasteful number, since it uses less digits than its factorization.

3481423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3481423200 is about 59003.5863316799. The cubic root of 3481423200 is about 1515.6035238818.

The spelling of 3481423200 in words is "three billion, four hundred eighty-one million, four hundred twenty-three thousand, two hundred".