3934671552 has 336 divisors, whose sum is σ = 13668695040. Its totient is φ = 1098842112.

The previous prime is 3934671529. The next prime is 3934671553. The reversal of 3934671552 is 2551764393.

3934671552 is a `hidden beast` number, since 3 + 9 + 34 + 67 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3934671498 and 3934671507.

It is not an unprimeable number, because it can be changed into a prime (3934671553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5116224 + ... + 5116992.

It is an arithmetic number, because the mean of its divisors is an integer number (40680640).

Almost surely, 2^3934671552 is an apocalyptic number.

3934671552 is a gapful number since it is divisible by the number (32) 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 3934671552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834347520).

3934671552 is an abundant number, since it is smaller than the sum of its proper divisors (9734023488).

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

3934671552 is an equidigital number, since it uses as much as digits as its factorization.

3934671552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 828 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 3934671552 is about 62726.9603280758. The cubic root of 3934671552 is about 1578.7117031350.

The spelling of 3934671552 in words is "three billion, nine hundred thirty-four million, six hundred seventy-one thousand, five hundred fifty-two".