3318886335840 has 192 divisors, whose sum is σ = 10554972696576. Its totient is φ = 876569065472.

The previous prime is 3318886335773. The next prime is 3318886335871. The reversal of 3318886335840 is 485336888133.

It is a super-2 number, since 2×3318886335840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21763537 + ... + 21915503.

It is an arithmetic number, because the mean of its divisors is an integer number (54973816128).

Almost surely, 2^{3318886335840} is an apocalyptic number.

3318886335840 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 3318886335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277486348288).

3318886335840 is an abundant number, since it is smaller than the sum of its proper divisors (7236086360736).

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

3318886335840 is a wasteful number, since it uses less digits than its factorization.

3318886335840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152421 (or 152413 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 3318886335840 in words is "three trillion, three hundred eighteen billion, eight hundred eighty-six million, three hundred thirty-five thousand, eight hundred forty".