38535837696 has 384 divisors, whose sum is σ = 123098976000. Its totient is φ = 11872272384.

The previous prime is 38535837661. The next prime is 38535837733. The reversal of 38535837696 is 69673853583.

38535837696 is a `hidden beast` number, since 3 + 8 + 535 + 8 + 3 + 7 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 45176406 + ... + 45177258.

It is an arithmetic number, because the mean of its divisors is an integer number (320570250).

Almost surely, 2^38535837696 is an apocalyptic number.

38535837696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38535837696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61549488000).

38535837696 is an abundant number, since it is smaller than the sum of its proper divisors (84563138304).

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

38535837696 is a wasteful number, since it uses less digits than its factorization.

38535837696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 920 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 38535837696 in words is "thirty-eight billion, five hundred thirty-five million, eight hundred thirty-seven thousand, six hundred ninety-six".