3861546624 has 384 divisors, whose sum is σ = 12942820800. Its totient is φ = 1094860800.

The previous prime is 3861546607. The next prime is 3861546631. The reversal of 3861546624 is 4266451683.

3861546624 is a `hidden beast` number, since 3 + 8 + 6 + 15 + 4 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3861546624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11666139 + ... + 11666469.

Almost surely, 2^3861546624 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 3861546624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471410400).

3861546624 is an abundant number, since it is smaller than the sum of its proper divisors (9081274176).

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

3861546624 is a wasteful number, since it uses less digits than its factorization.

3861546624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 409 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3861546624 is about 62141.3439185217. The cubic root of 3861546624 is about 1568.8704905490.

The spelling of 3861546624 in words is "three billion, eight hundred sixty-one million, five hundred forty-six thousand, six hundred twenty-four".