38800153350 has 288 divisors, whose sum is σ = 124685543424. Its totient is φ = 8463398400.

The previous prime is 38800153283. The next prime is 38800153351. The reversal of 38800153350 is 5335100883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38800153351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7125729 + ... + 7131171.

Almost surely, 2^38800153350 is an apocalyptic number.

38800153350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38800153350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62342771712).

38800153350 is an abundant number, since it is smaller than the sum of its proper divisors (85885390074).

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

38800153350 is a wasteful number, since it uses less digits than its factorization.

38800153350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 38800153350 in words is "thirty-eight billion, eight hundred million, one hundred fifty-three thousand, three hundred fifty".