38345076 has 240 divisors, whose sum is σ = 131725440. Its totient is φ = 9434880.

The previous prime is 38345063. The next prime is 38345077. The reversal of 38345076 is 67054383.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38345076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38345077) 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 79 ways as a sum of consecutive naturals, for example, 723466 + ... + 723518.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 2^38345076 is an apocalyptic number.

38345076 is a gapful number since it is divisible by the number (36) 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 38345076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720).

38345076 is an abundant number, since it is smaller than the sum of its proper divisors (93380364).

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

38345076 is a wasteful number, since it uses less digits than its factorization.

38345076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 38345076 is about 6192.3401069386. The cubic root of 38345076 is about 337.2121397334.

The spelling of 38345076 in words is "thirty-eight million, three hundred forty-five thousand, seventy-six".