3950832480 has 192 divisors, whose sum is σ = 14267570688. Its totient is φ = 900218880.

The previous prime is 3950832461. The next prime is 3950832481. The reversal of 3950832480 is 842380593.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3950832481) 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 31 ways as a sum of consecutive naturals, for example, 1184415 + ... + 1187745.

It is an arithmetic number, because the mean of its divisors is an integer number (74310264).

Almost surely, 2^3950832480 is an apocalyptic number.

3950832480 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 3950832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133785344).

3950832480 is an abundant number, since it is smaller than the sum of its proper divisors (10316738208).

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

3950832480 is a wasteful number, since it uses less digits than its factorization.

3950832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3950832480 is about 62855.6479562497. The cubic root of 3950832480 is about 1580.8701717431.

The spelling of 3950832480 in words is "three billion, nine hundred fifty million, eight hundred thirty-two thousand, four hundred eighty".