38340090720 has 384 divisors, whose sum is σ = 140619386880. Its totient is φ = 9744261120.

The previous prime is 38340090641. The next prime is 38340090721. The reversal of 38340090720 is 2709004383.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38340090721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8970504 + ... + 8974776.

It is an arithmetic number, because the mean of its divisors is an integer number (366196320).

Almost surely, 2^38340090720 is an apocalyptic number.

38340090720 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 38340090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70309693440).

38340090720 is an abundant number, since it is smaller than the sum of its proper divisors (102279296160).

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

38340090720 is a wasteful number, since it uses less digits than its factorization.

38340090720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 38340090720 in words is "thirty-eight billion, three hundred forty million, ninety thousand, seven hundred twenty".