3339701820 has 768 divisors, whose sum is σ = 13923840000. Its totient is φ = 658409472.

The previous prime is 3339701819. The next prime is 3339701843. The reversal of 3339701820 is 281079333.

It is a happy number.

It is a super-2 number, since 2×3339701820² = 22307216493022624800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45749304 + ... + 45749376.

It is an arithmetic number, because the mean of its divisors is an integer number (18130000).

Almost surely, 2^3339701820 is an apocalyptic number.

3339701820 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 3339701820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961920000).

3339701820 is an abundant number, since it is smaller than the sum of its proper divisors (10584138180).

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

3339701820 is a wasteful number, since it uses less digits than its factorization.

3339701820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3339701820 is about 57790.1533135187. The cubic root of 3339701820 is about 1494.7523025234.

It can be divided in two parts, 333970 and 1820, that added together give a triangular number (335790 = T₈₁₉).

The spelling of 3339701820 in words is "three billion, three hundred thirty-nine million, seven hundred one thousand, eight hundred twenty".