3383961504 has 144 divisors (see below), whose sum is σ = 11158951104. Its totient is φ = 878929920.

The previous prime is 3383961481. The next prime is 3383961509. The reversal of 3383961504 is 4051693833.

It is a super-2 number, since 2×3383961504² = 22902390921107884032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3383961509) 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, 60504 + ... + 102120.

It is an arithmetic number, because the mean of its divisors is an integer number (77492716).

Almost surely, 2^3383961504 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 3383961504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579475552).

3383961504 is an abundant number, since it is smaller than the sum of its proper divisors (7774989600).

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

3383961504 is a wasteful number, since it uses less digits than its factorization.

3383961504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41659 (or 41640 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3383961504 is about 58171.8274081191. The cubic root of 3383961504 is about 1501.3264568846.

It can be divided in two parts, 338396 and 1504, that added together give a triangular number (339900 = T₈₂₄).

The spelling of 3383961504 in words is "three billion, three hundred eighty-three million, nine hundred sixty-one thousand, five hundred four".