38438003520 has 896 divisors, whose sum is σ = 161782963200. Its totient is φ = 8408530944.

The previous prime is 38438003503. The next prime is 38438003543. The reversal of 38438003520 is 2530083483.

It is a super-2 number, since 2×38438003520² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199160544 + ... + 199160736.

Almost surely, 2^38438003520 is an apocalyptic number.

38438003520 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 38438003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80891481600).

38438003520 is an abundant number, since it is smaller than the sum of its proper divisors (123344959680).

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

38438003520 is a wasteful number, since it uses less digits than its factorization.

38438003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 38438003520 in words is "thirty-eight billion, four hundred thirty-eight million, three thousand, five hundred twenty".