3886044601950 has 384 divisors, whose sum is σ = 12365105725440. Its totient is φ = 879027811200.

The previous prime is 3886044601949. The next prime is 3886044601969. The reversal of 3886044601950 is 591064406883.

3886044601950 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 0 + 446 + 0 + 195 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1681541295 + ... + 1681543605.

It is an arithmetic number, because the mean of its divisors is an integer number (32200796160).

Almost surely, 2^{3886044601950} is an apocalyptic number.

3886044601950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3886044601950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182552862720).

3886044601950 is an abundant number, since it is smaller than the sum of its proper divisors (8479061123490).

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

3886044601950 is a wasteful number, since it uses less digits than its factorization.

3886044601950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3886044601950 in words is "three trillion, eight hundred eighty-six billion, forty-four million, six hundred one thousand, nine hundred fifty".