3381683520 has 224 divisors, whose sum is σ = 11420051328. Its totient is φ = 844890112.

The previous prime is 3381683509. The next prime is 3381683551. The reversal of 3381683520 is 253861833.

It is a super-2 number, since 2×3381683520² = 22871566858879180800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5760667 + ... + 5761253.

It is an arithmetic number, because the mean of its divisors is an integer number (50982372).

Almost surely, 2^3381683520 is an apocalyptic number.

3381683520 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 3381683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710025664).

3381683520 is an abundant number, since it is smaller than the sum of its proper divisors (8038367808).

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

3381683520 is a wasteful number, since it uses less digits than its factorization.

3381683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3381683520 is about 58152.2443247034. The cubic root of 3381683520 is about 1500.9894982298.

The spelling of 3381683520 in words is "three billion, three hundred eighty-one million, six hundred eighty-three thousand, five hundred twenty".