3631461000 has 128 divisors (see below), whose sum is σ = 11351059200. Its totient is φ = 966604800.

The previous prime is 3631460981. The next prime is 3631461059. The reversal of 3631461000 is 1641363.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2786349 + ... + 2787651.

It is an arithmetic number, because the mean of its divisors is an integer number (88680150).

Almost surely, 2^3631461000 is an apocalyptic number.

3631461000 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 3631461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675529600).

3631461000 is an abundant number, since it is smaller than the sum of its proper divisors (7719598200).

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

3631461000 is a wasteful number, since it uses less digits than its factorization.

3631461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3631461000 is about 60261.6046915447. The cubic root of 3631461000 is about 1537.0705258246.

The spelling of 3631461000 in words is "three billion, six hundred thirty-one million, four hundred sixty-one thousand".