3841656000 has 448 divisors, whose sum is σ = 15621365760. Its totient is φ = 810086400.

The previous prime is 3841655977. The next prime is 3841656023. The reversal of 3841656000 is 6561483.

It is an interprime number because it is at equal distance from previous prime (3841655977) and next prime (3841656023).

It is a tau number, because it is divible by the number of its divisors (448).

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, 2183121 + ... + 2184879.

It is an arithmetic number, because the mean of its divisors is an integer number (34869120).

Almost surely, 2^3841656000 is an apocalyptic number.

3841656000 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 3841656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810682880).

3841656000 is an abundant number, since it is smaller than the sum of its proper divisors (11779709760).

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

3841656000 is a wasteful number, since it uses less digits than its factorization.

3841656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3841656000 is about 61981.0938916054. The cubic root of 3841656000 is about 1566.1721290058.

The spelling of 3841656000 in words is "three billion, eight hundred forty-one million, six hundred fifty-six thousand".