38743200540 has 576 divisors, whose sum is σ = 138126643200. Its totient is φ = 8770544640.

The previous prime is 38743200539. The next prime is 38743200547. The reversal of 38743200540 is 4500234783.

It is a happy number.

38743200540 is a `hidden beast` number, since 3 + 87 + 4 + 32 + 0 + 0 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38743200495 and 38743200504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38743200547) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 435316816 + ... + 435316904.

It is an arithmetic number, because the mean of its divisors is an integer number (239803200).

Almost surely, 2^38743200540 is an apocalyptic number.

38743200540 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 38743200540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69063321600).

38743200540 is an abundant number, since it is smaller than the sum of its proper divisors (99383442660).

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

38743200540 is a wasteful number, since it uses less digits than its factorization.

38743200540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 38743200540 in words is "thirty-eight billion, seven hundred forty-three million, two hundred thousand, five hundred forty".