3358818683136 has 864 divisors, whose sum is σ = 11980284624000. Its totient is φ = 924783132672.

The previous prime is 3358818683117. The next prime is 3358818683153. The reversal of 3358818683136 is 6313868188533.

It is a happy number.

3358818683136 is a `hidden beast` number, since 3 + 3 + 588 + 18 + 6 + 8 + 3 + 1 + 36 = 666.

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

It is a super-2 number, since 2×3358818683136² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1365927475 + ... + 1365929933.

Almost surely, 2^{3358818683136} is an apocalyptic number.

3358818683136 is a gapful number since it is divisible by the number (36) 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 3358818683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990142312000).

3358818683136 is an abundant number, since it is smaller than the sum of its proper divisors (8621465940864).

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

3358818683136 is a wasteful number, since it uses less digits than its factorization.

3358818683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2617 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 3358818683136 in words is "three trillion, three hundred fifty-eight billion, eight hundred eighteen million, six hundred eighty-three thousand, one hundred thirty-six".