3439771920 has 420 divisors, whose sum is σ = 13021236900. Its totient is φ = 844286976.

The previous prime is 3439771903. The next prime is 3439771963. The reversal of 3439771920 is 291779343.

It can be written as a sum of positive squares in 6 ways, for example, as 382124304 + 3057647616 = 19548^2 + 55296^2 .

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

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 9855906 + ... + 9856254.

It is an arithmetic number, because the mean of its divisors is an integer number (31002945).

Almost surely, 2^3439771920 is an apocalyptic number.

3439771920 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 3439771920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510618450).

3439771920 is an abundant number, since it is smaller than the sum of its proper divisors (9581464980).

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

3439771920 is a wasteful number, since it uses less digits than its factorization.

3439771920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3439771920 is about 58649.5687963688. The cubic root of 3439771920 is about 1509.5350994869.

The spelling of 3439771920 in words is "three billion, four hundred thirty-nine million, seven hundred seventy-one thousand, nine hundred twenty".