3481632000 has 864 divisors, whose sum is σ = 15718719744. Its totient is φ = 718848000.

The previous prime is 3481631981. The next prime is 3481632013. The reversal of 3481632000 is 2361843.

It is a happy number.

It is a super-2 number, since 2×3481632000² = 24243522766848000000, which contains 22 as substring.

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, 22175922 + ... + 22176078.

Almost surely, 2^3481632000 is an apocalyptic number.

3481632000 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 3481632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859359872).

3481632000 is an abundant number, since it is smaller than the sum of its proper divisors (12237087744).

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

3481632000 is a wasteful number, since it uses less digits than its factorization.

3481632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3481632000 is about 59005.3556891237. The cubic root of 3481632000 is about 1515.6338229550.

Adding to 3481632000 its reverse (2361843), we get a palindrome (3483993843).

The spelling of 3481632000 in words is "three billion, four hundred eighty-one million, six hundred thirty-two thousand".