3310778880 has 320 divisors, whose sum is σ = 12384028800. Its totient is φ = 836075520.

The previous prime is 3310778873. The next prime is 3310778897. The reversal of 3310778880 is 888770133.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3310778880² = 21922513584508108800, which contains 22 as substring.

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

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, 1312020 + ... + 1314540.

It is an arithmetic number, because the mean of its divisors is an integer number (38700090).

Almost surely, 2^3310778880 is an apocalyptic number.

3310778880 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 3310778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192014400).

3310778880 is an abundant number, since it is smaller than the sum of its proper divisors (9073249920).

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

3310778880 is a wasteful number, since it uses less digits than its factorization.

3310778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 3310778880 is about 57539.3680882924. The cubic root of 3310778880 is about 1490.4247666646.

The spelling of 3310778880 in words is "three billion, three hundred ten million, seven hundred seventy-eight thousand, eight hundred eighty".