3365123820 has 192 divisors, whose sum is σ = 10625126400. Its totient is φ = 790732800.

The previous prime is 3365123809. The next prime is 3365123849. The reversal of 3365123820 is 283215633.

It is a super-2 number, since 2×3365123820² = 22648116647862784800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1723845 + ... + 1725795.

It is an arithmetic number, because the mean of its divisors is an integer number (55339200).

Almost surely, 2^3365123820 is an apocalyptic number.

3365123820 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 3365123820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312563200).

3365123820 is an abundant number, since it is smaller than the sum of its proper divisors (7260002580).

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

3365123820 is a wasteful number, since it uses less digits than its factorization.

3365123820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3365123820 is about 58009.6872944511. The cubic root of 3365123820 is about 1498.5354327161.

The spelling of 3365123820 in words is "three billion, three hundred sixty-five million, one hundred twenty-three thousand, eight hundred twenty".