38800226640 has 240 divisors, whose sum is σ = 142292410560. Its totient is φ = 8718151680.

The previous prime is 38800226627. The next prime is 38800226651. The reversal of 38800226640 is 4662200883.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×38800226640³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665880 + ... + 721800.

It is an arithmetic number, because the mean of its divisors is an integer number (592885044).

Almost surely, 2^38800226640 is an apocalyptic number.

38800226640 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 38800226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71146205280).

38800226640 is an abundant number, since it is smaller than the sum of its proper divisors (103492183920).

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

38800226640 is a wasteful number, since it uses less digits than its factorization.

38800226640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56010 (or 55997 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 38800226640 in words is "thirty-eight billion, eight hundred million, two hundred twenty-six thousand, six hundred forty".