38662735104 has 288 divisors, whose sum is σ = 133139946240. Its totient is φ = 10837352448.

The previous prime is 38662735073. The next prime is 38662735117. The reversal of 38662735104 is 40153726683.

38662735104 is a `hidden beast` number, since 3 + 8 + 6 + 62 + 73 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 38662735104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2556814 + ... + 2571890.

It is an arithmetic number, because the mean of its divisors is an integer number (462291480).

Almost surely, 2^38662735104 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 38662735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66569973120).

38662735104 is an abundant number, since it is smaller than the sum of its proper divisors (94477211136).

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

38662735104 is a wasteful number, since it uses less digits than its factorization.

38662735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15162 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 3866 and 2735104, that added together give a triangular number (2738970 = T₂₃₄₀).

The spelling of 38662735104 in words is "thirty-eight billion, six hundred sixty-two million, seven hundred thirty-five thousand, one hundred four".