3861406080 has 384 divisors, whose sum is σ = 15807617280. Its totient is φ = 882358272.

The previous prime is 3861406069. The next prime is 3861406093. The reversal of 3861406080 is 806041683.

It is a happy number.

3861406080 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 40 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 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, 1086867 + ... + 1090413.

It is an arithmetic number, because the mean of its divisors is an integer number (41165670).

Almost surely, 2^3861406080 is an apocalyptic number.

3861406080 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 3861406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7903808640).

3861406080 is an abundant number, since it is smaller than the sum of its proper divisors (11946211200).

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

3861406080 is an equidigital number, since it uses as much as digits as its factorization.

3861406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3861406080 is about 62140.2130669022. The cubic root of 3861406080 is about 1568.8514568965.

The spelling of 3861406080 in words is "three billion, eight hundred sixty-one million, four hundred six thousand, eighty".