38600064 has 192 divisors, whose sum is σ = 123636240. Its totient is φ = 11943936.

The previous prime is 38600057. The next prime is 38600069. The reversal of 38600064 is 46000683.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38600069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528732 + ... + 528804.

Almost surely, 2^38600064 is an apocalyptic number.

38600064 is a gapful number since it is divisible by the number (34) 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 38600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61818120).

38600064 is an abundant number, since it is smaller than the sum of its proper divisors (85036176).

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

38600064 is an equidigital number, since it uses as much as digits as its factorization.

38600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38600064 is about 6212.8949773837. The cubic root of 38600064 is about 337.9579560929.

The spelling of 38600064 in words is "thirty-eight million, six hundred thousand, sixty-four".