7038000 has 240 divisors, whose sum is σ = 27158976. Its totient is φ = 1689600.

The previous prime is 7037993. The next prime is 7038001. The reversal of 7038000 is 8307.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (7038001) 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, 305989 + ... + 306011.

Almost surely, 2^7038000 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 7038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579488).

7038000 is an abundant number, since it is smaller than the sum of its proper divisors (20120976).

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

7038000 is a wasteful number, since it uses less digits than its factorization.

7038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

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

The square root of 7038000 is about 2652.9229163321. The cubic root of 7038000 is about 191.6386432459.

The spelling of 7038000 in words is "seven million, thirty-eight thousand".