38146368 has 224 divisors, whose sum is σ = 122895360. Its totient is φ = 10321920.

The previous prime is 38146343. The next prime is 38146373. The reversal of 38146368 is 86364183.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1230513 + ... + 1230543.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^38146368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

38146368 is an abundant number, since it is smaller than the sum of its proper divisors (84748992).

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

38146368 is a wasteful number, since it uses less digits than its factorization.

38146368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 38146368 is about 6176.2746052940. The cubic root of 38146368 is about 336.6286416987.

The spelling of 38146368 in words is "thirty-eight million, one hundred forty-six thousand, three hundred sixty-eight".