3838616563950 has 1440 divisors, whose sum is σ = 13752723055104. Its totient is φ = 788018595840.

The previous prime is 3838616563937. The next prime is 3838616563987. The reversal of 3838616563950 is 593656168383.

3838616563950 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 6 + 16 + 563 + 9 + 50 = 666.

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 719 ways as a sum of consecutive naturals, for example, 6818146369 + ... + 6818146931.

Almost surely, 2^{3838616563950} is an apocalyptic number.

3838616563950 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 3838616563950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876361527552).

3838616563950 is an abundant number, since it is smaller than the sum of its proper divisors (9914106491154).

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

3838616563950 is a wasteful number, since it uses less digits than its factorization.

3838616563950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 3838616563950 in words is "three trillion, eight hundred thirty-eight billion, six hundred sixteen million, five hundred sixty-three thousand, nine hundred fifty".