3277480320 has 320 divisors, whose sum is σ = 12396304800. Its totient is φ = 822362112.

The previous prime is 3277480319. The next prime is 3277480331. The reversal of 3277480320 is 230847723.

3277480320 is a `hidden beast` number, since 327 + 7 + 4 + 8 + 0 + 320 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879421 + ... + 883139.

Almost surely, 2^3277480320 is an apocalyptic number.

3277480320 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 3277480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198152400).

3277480320 is an abundant number, since it is smaller than the sum of its proper divisors (9118824480).

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

3277480320 is a wasteful number, since it uses less digits than its factorization.

3277480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3277480320 is about 57249.2822662433. The cubic root of 3277480320 is about 1485.4112114958.

The spelling of 3277480320 in words is "three billion, two hundred seventy-seven million, four hundred eighty thousand, three hundred twenty".