38694672000 has 640 divisors, whose sum is σ = 146037949200. Its totient is φ = 10152345600.

The previous prime is 38694671969. The next prime is 38694672001. The reversal of 38694672000 is 27649683.

38694672000 is a `hidden beast` number, since 386 + 9 + 4 + 67 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7552305216 + 31142366784 = 86904^2 + 176472^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (38694672001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94607796 + ... + 94608204.

Almost surely, 2^38694672000 is an apocalyptic number.

38694672000 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 38694672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73018974600).

38694672000 is an abundant number, since it is smaller than the sum of its proper divisors (107343277200).

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

38694672000 is an equidigital number, since it uses as much as digits as its factorization.

38694672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38694672000 in words is "thirty-eight billion, six hundred ninety-four million, six hundred seventy-two thousand".