3891143040 has 128 divisors (see below), whose sum is σ = 12517480800. Its totient is φ = 1028063232.

The previous prime is 3891143021. The next prime is 3891143051. The reversal of 3891143040 is 403411983.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3891142992 and 3891143010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199984 + ... + 218576.

Almost surely, 2^3891143040 is an apocalyptic number.

3891143040 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 3891143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258740400).

3891143040 is an abundant number, since it is smaller than the sum of its proper divisors (8626337760).

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

3891143040 is a wasteful number, since it uses less digits than its factorization.

3891143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18724 (or 18712 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3891143040 is about 62379.0272447399. The cubic root of 3891143040 is about 1572.8684412794.

The spelling of 3891143040 in words is "three billion, eight hundred ninety-one million, one hundred forty-three thousand, forty".