38307840 has 192 divisors, whose sum is σ = 129729600. Its totient is φ = 9633792.

The previous prime is 38307823. The next prime is 38307859. The reversal of 38307840 is 4870383.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890859 + ... + 890901.

It is an arithmetic number, because the mean of its divisors is an integer number (675675).

Almost surely, 2^38307840 is an apocalyptic number.

38307840 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 38307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

38307840 is an abundant number, since it is smaller than the sum of its proper divisors (91421760).

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

38307840 is a wasteful number, since it uses less digits than its factorization.

38307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 38307840 is about 6189.3327588683. The cubic root of 38307840 is about 337.1029514607.

The spelling of 38307840 in words is "thirty-eight million, three hundred seven thousand, eight hundred forty".