38004750 has 192 divisors, whose sum is σ = 124600320. Its totient is φ = 8164800.

The previous prime is 38004739. The next prime is 38004793. The reversal of 38004750 is 5740083.

It is a super-2 number, since 2×38004750² = 2888722045125000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 299187 + ... + 299313.

It is an arithmetic number, because the mean of its divisors is an integer number (648960).

Almost surely, 2^38004750 is an apocalyptic number.

38004750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38004750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62300160).

38004750 is an abundant number, since it is smaller than the sum of its proper divisors (86595570).

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

38004750 is a wasteful number, since it uses less digits than its factorization.

38004750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 38004750 is about 6164.7992668050. The cubic root of 38004750 is about 336.2115483271.

The spelling of 38004750 in words is "thirty-eight million, four thousand, seven hundred fifty".