38290338240 has 896 divisors, whose sum is σ = 161519616000. Its totient is φ = 7445053440.

The previous prime is 38290338217. The next prime is 38290338241. The reversal of 38290338240 is 4283309283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 38290338192 and 38290338201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38290338241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192413661 + ... + 192413859.

Almost surely, 2^38290338240 is an apocalyptic number.

38290338240 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 38290338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80759808000).

38290338240 is an abundant number, since it is smaller than the sum of its proper divisors (123229277760).

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

38290338240 is a wasteful number, since it uses less digits than its factorization.

38290338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 38290338240 in words is "thirty-eight billion, two hundred ninety million, three hundred thirty-eight thousand, two hundred forty".