3871513440 has 144 divisors (see below), whose sum is σ = 13250109600. Its totient is φ = 1029390336.

The previous prime is 3871513423. The next prime is 3871513441. The reversal of 3871513440 is 443151783.

It is a happy number.

3871513440 is a `hidden beast` number, since 38 + 71 + 513 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3871513440² = 29977232632201267200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3871513395 and 3871513404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3871513441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513216 + ... + 520704.

It is an arithmetic number, because the mean of its divisors is an integer number (92014650).

Almost surely, 2^3871513440 is an apocalyptic number.

3871513440 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 3871513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625054800).

3871513440 is an abundant number, since it is smaller than the sum of its proper divisors (9378596160).

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

3871513440 is a wasteful number, since it uses less digits than its factorization.

3871513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7858 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3871513440 is about 62221.4869639098. The cubic root of 3871513440 is about 1570.2191047476.

The spelling of 3871513440 in words is "three billion, eight hundred seventy-one million, five hundred thirteen thousand, four hundred forty".