3278847936 has 672 divisors, whose sum is σ = 12258812160. Its totient is φ = 761757696.

The previous prime is 3278847899. The next prime is 3278847937. The reversal of 3278847936 is 6397488723.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3278847936² = 21501687574822920192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (12192768) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3278847937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39504151 + ... + 39504233.

It is an arithmetic number, because the mean of its divisors is an integer number (18242280).

Almost surely, 2^3278847936 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 3278847936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129406080).

3278847936 is an abundant number, since it is smaller than the sum of its proper divisors (8979964224).

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

3278847936 is a wasteful number, since it uses less digits than its factorization.

3278847936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The square root of 3278847936 is about 57261.2254147604. The cubic root of 3278847936 is about 1485.6177919016.

The spelling of 3278847936 in words is "three billion, two hundred seventy-eight million, eight hundred forty-seven thousand, nine hundred thirty-six".