3860817408 has 180 divisors, whose sum is σ = 12962535300. Its totient is φ = 1103026176.

The previous prime is 3860817379. The next prime is 3860817409. The reversal of 3860817408 is 8047180683.

3860817408 is a `hidden beast` number, since 38 + 608 + 1 + 7 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×3860817408² = 29811822115831676928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3860817409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 217243 + ... + 234341.

It is an arithmetic number, because the mean of its divisors is an integer number (72014085).

Almost surely, 2^3860817408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3860817408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481267650).

3860817408 is an abundant number, since it is smaller than the sum of its proper divisors (9101717892).

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

3860817408 is a wasteful number, since it uses less digits than its factorization.

3860817408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17137 (or 17111 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3860817408 is about 62135.4762434473. The cubic root of 3860817408 is about 1568.7717289562.

It can be divided in two parts, 3860817 and 408, that added together give a square (3861225 = 1965²).

The spelling of 3860817408 in words is "three billion, eight hundred sixty million, eight hundred seventeen thousand, four hundred eight".