3279674880 has 320 divisors, whose sum is σ = 12162078720. Its totient is φ = 836149248.

The previous prime is 3279674863. The next prime is 3279674897. The reversal of 3279674880 is 884769723.

3279674880 is a `hidden beast` number, since 32 + 79 + 67 + 488 + 0 = 666.

3279674880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3279674863) and next prime (3279674897).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588729 + ... + 1590791.

It is an arithmetic number, because the mean of its divisors is an integer number (38006496).

Almost surely, 2^3279674880 is an apocalyptic number.

3279674880 is a gapful number since it is divisible by the number (30) 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 3279674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081039360).

3279674880 is an abundant number, since it is smaller than the sum of its proper divisors (8882403840).

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

3279674880 is a wasteful number, since it uses less digits than its factorization.

3279674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3279674880 is about 57268.4457620425. The cubic root of 3279674880 is about 1485.7426751408.

The spelling of 3279674880 in words is "three billion, two hundred seventy-nine million, six hundred seventy-four thousand, eight hundred eighty".