38456000 has 224 divisors, whose sum is σ = 114117120. Its totient is φ = 12672000.

The previous prime is 38455999. The next prime is 38456003. The reversal of 38456000 is 65483.

It is not an unprimeable number, because it can be changed into a prime (38456003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671989 + ... + 1672011.

Almost surely, 2^38456000 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 38456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

38456000 is an abundant number, since it is smaller than the sum of its proper divisors (75661120).

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

38456000 is a wasteful number, since it uses less digits than its factorization.

38456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 38456000 is about 6201.2901883398. The cubic root of 38456000 is about 337.5369872586.

The spelling of 38456000 in words is "thirty-eight million, four hundred fifty-six thousand".