3871150920 has 768 divisors, whose sum is σ = 17167852800. Its totient is φ = 766402560.

The previous prime is 3871150919. The next prime is 3871150931. The reversal of 3871150920 is 290511783.

3871150920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11695155 + ... + 11695485.

It is an arithmetic number, because the mean of its divisors is an integer number (22353975).

Almost surely, 2^3871150920 is an apocalyptic number.

3871150920 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 3871150920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583926400).

3871150920 is an abundant number, since it is smaller than the sum of its proper divisors (13296701880).

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

3871150920 is a wasteful number, since it uses less digits than its factorization.

3871150920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 3871150920 is about 62218.5737541452. The cubic root of 3871150920 is about 1570.1700925971.

The spelling of 3871150920 in words is "three billion, eight hundred seventy-one million, one hundred fifty thousand, nine hundred twenty".