3311642880 has 864 divisors, whose sum is σ = 14722686720. Its totient is φ = 698720256.

The previous prime is 3311642869. The next prime is 3311642881. The reversal of 3311642880 is 882461133.

3311642880 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 642 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3311642881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254741754 + ... + 254741766.

Almost surely, 2^3311642880 is an apocalyptic number.

3311642880 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 3311642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361343360).

3311642880 is an abundant number, since it is smaller than the sum of its proper divisors (11411043840).

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

3311642880 is an frugal number, since it uses more digits than its factorization.

3311642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3311642880 is about 57546.8755016291. The cubic root of 3311642880 is about 1490.5544053431.

The spelling of 3311642880 in words is "three billion, three hundred eleven million, six hundred forty-two thousand, eight hundred eighty".