3318771960 has 768 divisors, whose sum is σ = 14146560000. Its totient is φ = 690923520.

The previous prime is 3318771901. The next prime is 3318772003. The reversal of 3318771960 is 691778133.

It is a super-2 number, since 2×3318771960² = 22028494644964483200, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 107057145 + ... + 107057175.

It is an arithmetic number, because the mean of its divisors is an integer number (18420000).

Almost surely, 2^3318771960 is an apocalyptic number.

3318771960 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 3318771960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073280000).

3318771960 is an abundant number, since it is smaller than the sum of its proper divisors (10827788040).

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

3318771960 is a wasteful number, since it uses less digits than its factorization.

3318771960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 3318771960 is about 57608.7837052649. The cubic root of 3318771960 is about 1491.6232268628.

The spelling of 3318771960 in words is "three billion, three hundred eighteen million, seven hundred seventy-one thousand, nine hundred sixty".