3383217504 has 48 divisors (see below), whose sum is σ = 9867720240. Its totient is φ = 1127738880.

The previous prime is 3383217493. The next prime is 3383217547. The reversal of 3383217504 is 4057123833.

3383217504 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 (48).

It is a super-3 number, since 3×3383217504³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957017 + ... + 1958744.

It is an arithmetic number, because the mean of its divisors is an integer number (205577505).

Almost surely, 2^3383217504 is an apocalyptic number.

It is an amenable number.

3383217504 is an abundant number, since it is smaller than the sum of its proper divisors (6484502736).

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

3383217504 is a wasteful number, since it uses less digits than its factorization.

3383217504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915780 (or 3915766 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3383217504 is about 58165.4322084862. The cubic root of 3383217504 is about 1501.2164212795.

The spelling of 3383217504 in words is "three billion, three hundred eighty-three million, two hundred seventeen thousand, five hundred four".