3318952560 has 480 divisors, whose sum is σ = 13394142720. Its totient is φ = 664688640.

The previous prime is 3318952523. The next prime is 3318952603. The reversal of 3318952560 is 652598133.

It is a super-2 number, since 2×3318952560² = 22030892191061107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5894839 + ... + 5895401.

It is an arithmetic number, because the mean of its divisors is an integer number (27904464).

Almost surely, 2^3318952560 is an apocalyptic number.

3318952560 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 3318952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697071360).

3318952560 is an abundant number, since it is smaller than the sum of its proper divisors (10075190160).

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

3318952560 is a wasteful number, since it uses less digits than its factorization.

3318952560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 3318952560 is about 57610.3511532433. The cubic root of 3318952560 is about 1491.6502832833.

The spelling of 3318952560 in words is "three billion, three hundred eighteen million, nine hundred fifty-two thousand, five hundred sixty".