3439736820 has 768 divisors, whose sum is σ = 13513651200. Its totient is φ = 716636160.

The previous prime is 3439736819. The next prime is 3439736831. The reversal of 3439736820 is 286379343.

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 83896000 + ... + 83896040.

It is an arithmetic number, because the mean of its divisors is an integer number (17595900).

Almost surely, 2^3439736820 is an apocalyptic number.

3439736820 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 3439736820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756825600).

3439736820 is an abundant number, since it is smaller than the sum of its proper divisors (10073914380).

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

3439736820 is a wasteful number, since it uses less digits than its factorization.

3439736820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3439736820 is about 58649.2695606689. The cubic root of 3439736820 is about 1509.5299649544.

It can be divided in two parts, 34397 and 36820, that added together give a palindrome (71217).

The spelling of 3439736820 in words is "three billion, four hundred thirty-nine million, seven hundred thirty-six thousand, eight hundred twenty".