3383400468 has 96 divisors (see below), whose sum is σ = 9245343744. Its totient is φ = 942939648.

The previous prime is 3383400467. The next prime is 3383400473. The reversal of 3383400468 is 8640043833.

It is a super-2 number, since 2×3383400468² = 22894797453725238048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3383400467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329205 + ... + 1331747.

It is an arithmetic number, because the mean of its divisors is an integer number (96305664).

Almost surely, 2^3383400468 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 3383400468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622671872).

3383400468 is an abundant number, since it is smaller than the sum of its proper divisors (5861943276).

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

3383400468 is a wasteful number, since it uses less digits than its factorization.

3383400468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3383400468 is about 58167.0049770486. The cubic root of 3383400468 is about 1501.2434826602.

The spelling of 3383400468 in words is "three billion, three hundred eighty-three million, four hundred thousand, four hundred sixty-eight".