38664990000 has 600 divisors, whose sum is σ = 166456241952. Its totient is φ = 8156160000.

The previous prime is 38664989977. The next prime is 38664990041. The reversal of 38664990000 is 9946683.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8187640 + ... + 8192360.

Almost surely, 2^38664990000 is an apocalyptic number.

38664990000 is a gapful number since it is divisible by the number (30) 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 38664990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83228120976).

38664990000 is an abundant number, since it is smaller than the sum of its proper divisors (127791251952).

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

38664990000 is a wasteful number, since it uses less digits than its factorization.

38664990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 38664990000 in words is "thirty-eight billion, six hundred sixty-four million, nine hundred ninety thousand".