3891846000 has 320 divisors, whose sum is σ = 15097605120. Its totient is φ = 842572800.

The previous prime is 3891845963. The next prime is 3891846041. The reversal of 3891846000 is 6481983.

It is a self number, because there is not a number n which added to its sum of digits gives 3891846000.

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, 795562 + ... + 800438.

It is an arithmetic number, because the mean of its divisors is an integer number (47180016).

Almost surely, 2^3891846000 is an apocalyptic number.

3891846000 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 3891846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548802560).

3891846000 is an abundant number, since it is smaller than the sum of its proper divisors (11205759120).

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

3891846000 is a wasteful number, since it uses less digits than its factorization.

3891846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 3891846000 is about 62384.6615763843. The cubic root of 3891846000 is about 1572.9631518407.

The spelling of 3891846000 in words is "three billion, eight hundred ninety-one million, eight hundred forty-six thousand".