3861411840 has 576 divisors, whose sum is σ = 15776298720. Its totient is φ = 861143040.

The previous prime is 3861411803. The next prime is 3861411877. The reversal of 3861411840 is 481141683.

It is a happy number.

3861411840 is a `hidden beast` number, since 38 + 614 + 1 + 1 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3861411803) and next prime (3861411877).

It is a tau number, because it is divible by the number of its divisors (576).

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 = 3861411795 and 3861411804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13178734 + ... + 13179026.

Almost surely, 2^3861411840 is an apocalyptic number.

3861411840 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 3861411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888149360).

3861411840 is an abundant number, since it is smaller than the sum of its proper divisors (11914886880).

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

3861411840 is a wasteful number, since it uses less digits than its factorization.

3861411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3861411840 is about 62140.2594136845. The cubic root of 3861411840 is about 1568.8522369733.

The spelling of 3861411840 in words is "three billion, eight hundred sixty-one million, four hundred eleven thousand, eight hundred forty".