38333640 has 256 divisors, whose sum is σ = 136857600. Its totient is φ = 8515584.

The previous prime is 38333627. The next prime is 38333651. The reversal of 38333640 is 4633383.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38333598 and 38333607.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 891459 + ... + 891501.

It is an arithmetic number, because the mean of its divisors is an integer number (534600).

Almost surely, 2^38333640 is an apocalyptic number.

38333640 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 38333640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

38333640 is an abundant number, since it is smaller than the sum of its proper divisors (98523960).

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

38333640 is a wasteful number, since it uses less digits than its factorization.

38333640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 38333640 is about 6191.4166391869. The cubic root of 38333640 is about 337.1786131213.

The spelling of 38333640 in words is "thirty-eight million, three hundred thirty-three thousand, six hundred forty".