38361960 has 192 divisors, whose sum is σ = 153578880. Its totient is φ = 8087040.

The previous prime is 38361959. The next prime is 38361991. The reversal of 38361960 is 6916383.

It is a happy number.

38361960 is a `hidden beast` number, since 38 + 3 + 619 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32175 + ... + 33345.

It is an arithmetic number, because the mean of its divisors is an integer number (799890).

Almost surely, 2^38361960 is an apocalyptic number.

38361960 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 38361960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76789440).

38361960 is an abundant number, since it is smaller than the sum of its proper divisors (115216920).

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

38361960 is a wasteful number, since it uses less digits than its factorization.

38361960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 38361960 is about 6193.7032541122. The cubic root of 38361960 is about 337.2616259162.

The spelling of 38361960 in words is "thirty-eight million, three hundred sixty-one thousand, nine hundred sixty".