3847034880 has 576 divisors, whose sum is σ = 15203916000. Its totient is φ = 897122304.

The previous prime is 3847034837. The next prime is 3847034881. The reversal of 3847034880 is 884307483.

It is a happy number.

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

It is a super-2 number, since 2×3847034880² = 29599354735873228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3847034881) by changing a digit.

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, 202475511 + ... + 202475529.

Almost surely, 2^3847034880 is an apocalyptic number.

3847034880 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 3847034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601958000).

3847034880 is an abundant number, since it is smaller than the sum of its proper divisors (11356881120).

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

3847034880 is a wasteful number, since it uses less digits than its factorization.

3847034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3847034880 is about 62024.4700098276. The cubic root of 3847034880 is about 1566.9027447671.

The spelling of 3847034880 in words is "three billion, eight hundred forty-seven million, thirty-four thousand, eight hundred eighty".