38769269760 has 1232 divisors, whose sum is σ = 162379437696. Its totient is φ = 8790736896.

The previous prime is 38769269741. The next prime is 38769269767. The reversal of 38769269760 is 6796296783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38769269767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 824878057 + ... + 824878103.

Almost surely, 2^38769269760 is an apocalyptic number.

38769269760 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 38769269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81189718848).

38769269760 is an abundant number, since it is smaller than the sum of its proper divisors (123610167936).

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

38769269760 is a wasteful number, since it uses less digits than its factorization.

38769269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 38769269760 in words is "thirty-eight billion, seven hundred sixty-nine million, two hundred sixty-nine thousand, seven hundred sixty".