38374000 has 80 divisors (see below), whose sum is σ = 106082496. Its totient is φ = 13152000.

The previous prime is 38373967. The next prime is 38374003. The reversal of 38374000 is 47383.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38374003) 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, 12630 + ... + 15370.

Almost surely, 2^38374000 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 38374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53041248).

38374000 is an abundant number, since it is smaller than the sum of its proper divisors (67708496).

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

38374000 is a wasteful number, since it uses less digits than its factorization.

38374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 38374000 is about 6194.6751327249. The cubic root of 38374000 is about 337.2969057024.

The spelling of 38374000 in words is "thirty-eight million, three hundred seventy-four thousand".