3283504776 has 80 divisors (see below), whose sum is σ = 9243432000. Its totient is φ = 1088958816.

The previous prime is 3283504769. The next prime is 3283504799. The reversal of 3283504776 is 6774053823.

It is a super-2 number, since 2×3283504776² = 21562807228029620352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116221 + ... + 141683.

It is an arithmetic number, because the mean of its divisors is an integer number (115542900).

Almost surely, 2^3283504776 is an apocalyptic number.

3283504776 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 3283504776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621716000).

3283504776 is an abundant number, since it is smaller than the sum of its proper divisors (5959927224).

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

3283504776 is a wasteful number, since it uses less digits than its factorization.

3283504776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25680 (or 25667 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3283504776 is about 57301.8741054776. The cubic root of 3283504776 is about 1486.3207839081.

The spelling of 3283504776 in words is "three billion, two hundred eighty-three million, five hundred four thousand, seven hundred seventy-six".