3871523760 has 160 divisors (see below), whose sum is σ = 13487136768. Its totient is φ = 911539200.

The previous prime is 3871523743. The next prime is 3871523767. The reversal of 3871523760 is 673251783.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3871523767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44785 + ... + 98735.

Almost surely, 2^3871523760 is an apocalyptic number.

3871523760 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 3871523760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743568384).

3871523760 is an abundant number, since it is smaller than the sum of its proper divisors (9615613008).

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

3871523760 is a wasteful number, since it uses less digits than its factorization.

3871523760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54003 (or 53997 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 3871523760 is about 62221.5698934059. The cubic root of 3871523760 is about 1570.2204999510.

The spelling of 3871523760 in words is "three billion, eight hundred seventy-one million, five hundred twenty-three thousand, seven hundred sixty".