3913268880 has 360 divisors, whose sum is σ = 13511028096. Its totient is φ = 936368640.

The previous prime is 3913268867. The next prime is 3913268881. The reversal of 3913268880 is 888623193.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3913268881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83261017 + ... + 83261063.

Almost surely, 2^3913268880 is an apocalyptic number.

3913268880 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 3913268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755514048).

3913268880 is an abundant number, since it is smaller than the sum of its proper divisors (9597759216).

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

3913268880 is a wasteful number, since it uses less digits than its factorization.

3913268880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 3913268880 is about 62556.1258391215. The cubic root of 3913268880 is about 1575.8440263242.

The spelling of 3913268880 in words is "three billion, nine hundred thirteen million, two hundred sixty-eight thousand, eight hundred eighty".