3758841198864 has 180 divisors, whose sum is σ = 10890525125844. Its totient is φ = 1210176516096.

The previous prime is 3758841198851. The next prime is 3758841198911. The reversal of 3758841198864 is 4688911488573.

It is a happy number.

3758841198864 is a `hidden beast` number, since 3 + 75 + 8 + 8 + 411 + 9 + 88 + 64 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 88137734400 + 3670703464464 = 296880^2 + 1915908^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3758841198792 and 3758841198801.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26938044 + ... + 27077220.

Almost surely, 2^{3758841198864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3758841198864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445262562922).

3758841198864 is an abundant number, since it is smaller than the sum of its proper divisors (7131683926980).

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

3758841198864 is a wasteful number, since it uses less digits than its factorization.

3758841198864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139402 (or 139356 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 3758841198864 in words is "three trillion, seven hundred fifty-eight billion, eight hundred forty-one million, one hundred ninety-eight thousand, eight hundred sixty-four".