3847596480 has 672 divisors, whose sum is σ = 16655393664. Its totient is φ = 793608192.

The previous prime is 3847596479. The next prime is 3847596481. The reversal of 3847596480 is 846957483.

3847596480 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 596 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3847596479) and next prime (3847596481).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3847596481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13890102 + ... + 13890378.

It is an arithmetic number, because the mean of its divisors is an integer number (24784812).

Almost surely, 2^3847596480 is an apocalyptic number.

3847596480 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 3847596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8327696832).

3847596480 is an abundant number, since it is smaller than the sum of its proper divisors (12807797184).

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

3847596480 is a wasteful number, since it uses less digits than its factorization.

3847596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3847596480 is about 62028.9970900707. The cubic root of 3847596480 is about 1566.9789878818.

The spelling of 3847596480 in words is "three billion, eight hundred forty-seven million, five hundred ninety-six thousand, four hundred eighty".