3277808640 has 352 divisors, whose sum is σ = 11802510720. Its totient is φ = 862617600.

The previous prime is 3277808627. The next prime is 3277808657. The reversal of 3277808640 is 468087723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18109350 + ... + 18109530.

It is an arithmetic number, because the mean of its divisors is an integer number (33529860).

Almost surely, 2^3277808640 is an apocalyptic number.

3277808640 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 3277808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901255360).

3277808640 is an abundant number, since it is smaller than the sum of its proper divisors (8524702080).

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

3277808640 is a wasteful number, since it uses less digits than its factorization.

3277808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3277808640 is about 57252.1496539650. The cubic root of 3277808640 is about 1485.4608099554.

The spelling of 3277808640 in words is "three billion, two hundred seventy-seven million, eight hundred eight thousand, six hundred forty".