38021760 has 384 divisors, whose sum is σ = 160392960. Its totient is φ = 8110080.

The previous prime is 38021759. The next prime is 38021771. The reversal of 38021760 is 6712083.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927340 + ... + 927380.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^38021760 is an apocalyptic number.

38021760 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 38021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

38021760 is an abundant number, since it is smaller than the sum of its proper divisors (122371200).

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

38021760 is a wasteful number, since it uses less digits than its factorization.

38021760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 38021760 is about 6166.1787194339. The cubic root of 38021760 is about 336.2617008776.

It can be divided in two parts, 38021 and 760, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 38021760 in words is "thirty-eight million, twenty-one thousand, seven hundred sixty".