3955267680 has 768 divisors, whose sum is σ = 16647192576. Its totient is φ = 766402560.

The previous prime is 3955267669. The next prime is 3955267709. The reversal of 3955267680 is 867625593.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 31143777 + ... + 31143903.

It is an arithmetic number, because the mean of its divisors is an integer number (21676032).

Almost surely, 2^3955267680 is an apocalyptic number.

3955267680 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 3955267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323596288).

3955267680 is an abundant number, since it is smaller than the sum of its proper divisors (12691924896).

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

3955267680 is a wasteful number, since it uses less digits than its factorization.

3955267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 3955267680 is about 62890.9188993133. The cubic root of 3955267680 is about 1581.4615115316.

The spelling of 3955267680 in words is "three billion, nine hundred fifty-five million, two hundred sixty-seven thousand, six hundred eighty".