38361173760 has 1728 divisors, whose sum is σ = 179135244288. Its totient is φ = 7357464576.

The previous prime is 38361173759. The next prime is 38361173779. The reversal of 38361173760 is 6737116383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 892120299 + ... + 892120341.

Almost surely, 2^38361173760 is an apocalyptic number.

38361173760 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 38361173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89567622144).

38361173760 is an abundant number, since it is smaller than the sum of its proper divisors (140774070528).

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

38361173760 is a wasteful number, since it uses less digits than its factorization.

38361173760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 38361173760 in words is "thirty-eight billion, three hundred sixty-one million, one hundred seventy-three thousand, seven hundred sixty".