38478500 has 48 divisors (see below), whose sum is σ = 86132592. Its totient is φ = 15008000.

The previous prime is 38478493. The next prime is 38478509. The reversal of 38478500 is 587483.

It can be written as a sum of positive squares in 8 ways, for example, as 20720704 + 17757796 = 4552^2 + 4214^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38478509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19562 + ... + 21438.

It is an arithmetic number, because the mean of its divisors is an integer number (1794429).

Almost surely, 2^38478500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38478500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43066296).

38478500 is an abundant number, since it is smaller than the sum of its proper divisors (47654092).

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

38478500 is a wasteful number, since it uses less digits than its factorization.

38478500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 38478500 is about 6203.1040616775. The cubic root of 38478500 is about 337.6028036162.

The spelling of 38478500 in words is "thirty-eight million, four hundred seventy-eight thousand, five hundred".