3873178560 has 112 divisors (see below), whose sum is σ = 12583460736. Its totient is φ = 1008817152.

The previous prime is 3873178531. The next prime is 3873178643. The reversal of 3873178560 is 658713783.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5634 + ... + 88193.

It is an arithmetic number, because the mean of its divisors is an integer number (112352328).

Almost surely, 2^3873178560 is an apocalyptic number.

3873178560 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 3873178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291730368).

3873178560 is an abundant number, since it is smaller than the sum of its proper divisors (8710282176).

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

3873178560 is a wasteful number, since it uses less digits than its factorization.

3873178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93890 (or 93880 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 3873178560 is about 62234.8661121722. The cubic root of 3873178560 is about 1570.4441871366. Note that the first 3 decimals are identical.

The spelling of 3873178560 in words is "three billion, eight hundred seventy-three million, one hundred seventy-eight thousand, five hundred sixty".