38415000 has 160 divisors (see below), whose sum is σ = 129895920. Its totient is φ = 9408000.

The previous prime is 38414993. The next prime is 38415001. The reversal of 38415000 is 51483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38415001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194902 + ... + 195098.

Almost surely, 2^38415000 is an apocalyptic number.

38415000 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 38415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64947960).

38415000 is an abundant number, since it is smaller than the sum of its proper divisors (91480920).

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

38415000 is a wasteful number, since it uses less digits than its factorization.

38415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 38415000 is about 6197.9835430566. The cubic root of 38415000 is about 337.4169891867.

Adding to 38415000 its reverse (51483), we get a palindrome (38466483).

It can be divided in two parts, 384 and 15000, that multiplied together give a square (5760000 = 2400²).

The spelling of 38415000 in words is "thirty-eight million, four hundred fifteen thousand".