3276290880 has 168 divisors, whose sum is σ = 11313642600. Its totient is φ = 870223872.

The previous prime is 3276290869. The next prime is 3276290891. The reversal of 3276290880 is 880926723.

It is an interprime number because it is at equal distance from previous prime (3276290869) and next prime (3276290891).

It can be written as a sum of positive squares in 4 ways, for example, as 546437376 + 2729853504 = 23376^2 + 52248^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772606 + ... + 776834.

Almost surely, 2^3276290880 is an apocalyptic number.

3276290880 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 3276290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656821300).

3276290880 is an abundant number, since it is smaller than the sum of its proper divisors (8037351720).

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

3276290880 is a wasteful number, since it uses less digits than its factorization.

3276290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3276290880 is about 57238.8930710579. The cubic root of 3276290880 is about 1485.2314981068.

The spelling of 3276290880 in words is "three billion, two hundred seventy-six million, two hundred ninety thousand, eight hundred eighty".