38261760 has 176 divisors, whose sum is σ = 127339776. Its totient is φ = 9797632.

The previous prime is 38261731. The next prime is 38261767. The reversal of 38261760 is 6716283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38261767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721894 + ... + 721946.

Almost surely, 2^38261760 is an apocalyptic number.

38261760 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 38261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63669888).

38261760 is an abundant number, since it is smaller than the sum of its proper divisors (89078016).

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

38261760 is a wasteful number, since it uses less digits than its factorization.

38261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 38261760 is about 6185.6091050114. The cubic root of 38261760 is about 336.9677316502.

The spelling of 38261760 in words is "thirty-eight million, two hundred sixty-one thousand, seven hundred sixty".