3463218827838 has 480 divisors, whose sum is σ = 10020524836608. Its totient is φ = 883855929600.

The previous prime is 3463218827813. The next prime is 3463218827903. The reversal of 3463218827838 is 8387288123643.

3463218827838 is a `hidden beast` number, since 3 + 4 + 6 + 321 + 8 + 8 + 278 + 38 = 666.

It is a super-2 number, since 2×3463218827838² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1982379681 + ... + 1982381427.

Almost surely, 2^{3463218827838} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3463218827838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010262418304).

3463218827838 is an abundant number, since it is smaller than the sum of its proper divisors (6557306008770).

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

3463218827838 is a wasteful number, since it uses less digits than its factorization.

3463218827838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2154 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 3463218827838 in words is "three trillion, four hundred sixty-three billion, two hundred eighteen million, eight hundred twenty-seven thousand, eight hundred thirty-eight".