38746500 has 96 divisors (see below), whose sum is σ = 121570176. Its totient is φ = 9532800.

The previous prime is 38746493. The next prime is 38746507. The reversal of 38746500 is 564783.

It is an interprime number because it is at equal distance from previous prime (38746493) and next prime (38746507).

It is not an unprimeable number, because it can be changed into a prime (38746507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18507 + ... + 20493.

It is an arithmetic number, because the mean of its divisors is an integer number (1266356).

Almost surely, 2^38746500 is an apocalyptic number.

38746500 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 38746500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60785088).

38746500 is an abundant number, since it is smaller than the sum of its proper divisors (82823676).

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

38746500 is a wasteful number, since it uses less digits than its factorization.

38746500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 38746500 is about 6224.6686658809. The cubic root of 38746500 is about 338.3847840629.

The spelling of 38746500 in words is "thirty-eight million, seven hundred forty-six thousand, five hundred".