3161985120 has 384 divisors, whose sum is σ = 13059809280. Its totient is φ = 699217920.

The previous prime is 3161985119. The next prime is 3161985131. The reversal of 3161985120 is 215891613.

3161985120 is a `hidden beast` number, since 31 + 619 + 8 + 5 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 935754 + ... + 939126.

It is an arithmetic number, because the mean of its divisors is an integer number (34009920).

Almost surely, 2^3161985120 is an apocalyptic number.

3161985120 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 3161985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529904640).

3161985120 is an abundant number, since it is smaller than the sum of its proper divisors (9897824160).

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

3161985120 is a wasteful number, since it uses less digits than its factorization.

3161985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 3161985120 is about 56231.5313680856. The cubic root of 3161985120 is about 1467.7540045203.

The spelling of 3161985120 in words is "three billion, one hundred sixty-one million, nine hundred eighty-five thousand, one hundred twenty".