3846399480 has 512 divisors, whose sum is σ = 16688332800. Its totient is φ = 764121600.

The previous prime is 3846399443. The next prime is 3846399517. The reversal of 3846399480 is 849936483.

It is a happy number.

3846399480 is a `hidden beast` number, since 38 + 46 + 3 + 99 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3846399443) and next prime (3846399517).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1911675 + ... + 1913685.

It is an arithmetic number, because the mean of its divisors is an integer number (32594400).

Almost surely, 2^3846399480 is an apocalyptic number.

3846399480 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 3846399480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344166400).

3846399480 is an abundant number, since it is smaller than the sum of its proper divisors (12841933320).

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

3846399480 is a wasteful number, since it uses less digits than its factorization.

3846399480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3846399480 is about 62019.3476263658. The cubic root of 3846399480 is about 1566.8164735778.

The spelling of 3846399480 in words is "three billion, eight hundred forty-six million, three hundred ninety-nine thousand, four hundred eighty".