3949332480 has 144 divisors (see below), whose sum is σ = 13687996140. Its totient is φ = 1053130752.

The previous prime is 3949332479. The next prime is 3949332521. The reversal of 3949332480 is 842339493.

It can be written as a sum of positive squares in 2 ways, for example, as 3576996864 + 372335616 = 59808^2 + 19296^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 70734 + ... + 113586.

Almost surely, 2^3949332480 is an apocalyptic number.

3949332480 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 3949332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843998070).

3949332480 is an abundant number, since it is smaller than the sum of its proper divisors (9738663660).

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

3949332480 is a wasteful number, since it uses less digits than its factorization.

3949332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42886 (or 42863 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3949332480 is about 62843.7147215217. The cubic root of 3949332480 is about 1580.6700784349.

The spelling of 3949332480 in words is "three billion, nine hundred forty-nine million, three hundred thirty-two thousand, four hundred eighty".