38007000 has 192 divisors, whose sum is σ = 132874560. Its totient is φ = 9792000.

The previous prime is 38006993. The next prime is 38007001. The reversal of 38007000 is 70083.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38007001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368949 + ... + 369051.

It is an arithmetic number, because the mean of its divisors is an integer number (692055).

Almost surely, 2^38007000 is an apocalyptic number.

38007000 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 38007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66437280).

38007000 is an abundant number, since it is smaller than the sum of its proper divisors (94867560).

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

38007000 is a wasteful number, since it uses less digits than its factorization.

38007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 38007000 is about 6164.9817517978. The cubic root of 38007000 is about 336.2181831211.

Adding to 38007000 its reverse (70083), we get a palindrome (38077083).

The spelling of 38007000 in words is "thirty-eight million, seven thousand".