3380013504 has 168 divisors, whose sum is σ = 11229124608. Its totient is φ = 952035840.

The previous prime is 3380013443. The next prime is 3380013509. The reversal of 3380013504 is 4053100833.

It is a happy number.

3380013504 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3380013504² = 22848982574444716032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380013509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280369 + ... + 292175.

Almost surely, 2^3380013504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614562304).

3380013504 is an abundant number, since it is smaller than the sum of its proper divisors (7849111104).

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

3380013504 is a wasteful number, since it uses less digits than its factorization.

3380013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11903 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3380013504 is about 58137.8835528092. The cubic root of 3380013504 is about 1500.7423738601.

The spelling of 3380013504 in words is "three billion, three hundred eighty million, thirteen thousand, five hundred four".