3161461600 has 144 divisors (see below), whose sum is σ = 8505299376. Its totient is φ = 1137920000.

The previous prime is 3161461553. The next prime is 3161461637. The reversal of 3161461600 is 61641613.

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 23 ways as a sum of consecutive naturals, for example, 887022 + ... + 890578.

It is an arithmetic number, because the mean of its divisors is an integer number (59064579).

Almost surely, 2^3161461600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3161461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252649688).

3161461600 is an abundant number, since it is smaller than the sum of its proper divisors (5343837776).

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

3161461600 is a wasteful number, since it uses less digits than its factorization.

3161461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3161461600 is about 56226.8761358836. The cubic root of 3161461600 is about 1467.6729962340.

The spelling of 3161461600 in words is "three billion, one hundred sixty-one million, four hundred sixty-one thousand, six hundred".