3278990880 has 288 divisors, whose sum is σ = 12304027008. Its totient is φ = 788582400.

The previous prime is 3278990849. The next prime is 3278990881. The reversal of 3278990880 is 880998723.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3278990880² = 21503562382246348800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3278990881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2169325 + ... + 2170835.

It is an arithmetic number, because the mean of its divisors is an integer number (42722316).

Almost surely, 2^3278990880 is an apocalyptic number.

3278990880 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 3278990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152013504).

3278990880 is an abundant number, since it is smaller than the sum of its proper divisors (9025036128).

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

3278990880 is a wasteful number, since it uses less digits than its factorization.

3278990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 3278990880 is about 57262.4735756324. The cubic root of 3278990880 is about 1485.6393804867.

The spelling of 3278990880 in words is "three billion, two hundred seventy-eight million, nine hundred ninety thousand, eight hundred eighty".