3283410816 has 480 divisors, whose sum is σ = 11903118480. Its totient is φ = 894136320.

The previous prime is 3283410811. The next prime is 3283410817. The reversal of 3283410816 is 6180143823.

3283410816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283410811) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11684596 + ... + 11684876.

Almost surely, 2^3283410816 is an apocalyptic number.

3283410816 is a gapful number since it is divisible by the number (36) 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 3283410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951559240).

3283410816 is an abundant number, since it is smaller than the sum of its proper divisors (8619707664).

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

3283410816 is a wasteful number, since it uses less digits than its factorization.

3283410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3283410816 is about 57301.0542311396. The cubic root of 3283410816 is about 1486.3066063710.

The spelling of 3283410816 in words is "three billion, two hundred eighty-three million, four hundred ten thousand, eight hundred sixteen".