3861573120 has 240 divisors, whose sum is σ = 14161839120. Its totient is φ = 969080832.

The previous prime is 3861573119. The next prime is 3861573169. The reversal of 3861573120 is 213751683.

3861573120 is a `hidden beast` number, since 3 + 8 + 61 + 573 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3861573120² = 29823493922213068800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 386751 + ... + 396609.

It is an arithmetic number, because the mean of its divisors is an integer number (59007663).

Almost surely, 2^3861573120 is an apocalyptic number.

3861573120 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 3861573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080919560).

3861573120 is an abundant number, since it is smaller than the sum of its proper divisors (10300266000).

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

3861573120 is a wasteful number, since it uses less digits than its factorization.

3861573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9905 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3861573120 is about 62141.5571095543. The cubic root of 3861573120 is about 1568.8740788088.

The spelling of 3861573120 in words is "three billion, eight hundred sixty-one million, five hundred seventy-three thousand, one hundred twenty".