3949418880 has 384 divisors, whose sum is σ = 15076938240. Its totient is φ = 944640000.

The previous prime is 3949418843. The next prime is 3949418881. The reversal of 3949418880 is 888149493.

3949418880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3949418881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5258505 + ... + 5259255.

It is an arithmetic number, because the mean of its divisors is an integer number (39262860).

Almost surely, 2^3949418880 is an apocalyptic number.

3949418880 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 3949418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538469120).

3949418880 is an abundant number, since it is smaller than the sum of its proper divisors (11127519360).

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

3949418880 is a wasteful number, since it uses less digits than its factorization.

3949418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 3949418880 is about 62844.4021373424. The cubic root of 3949418880 is about 1580.6816051845.

The spelling of 3949418880 in words is "three billion, nine hundred forty-nine million, four hundred eighteen thousand, eight hundred eighty".