38078000 has 80 divisors (see below), whose sum is σ = 93624960. Its totient is φ = 14976000.

The previous prime is 38077999. The next prime is 38078003. The reversal of 38078000 is 87083.

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

It is not an unprimeable number, because it can be changed into a prime (38078003) 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, 157880 + ... + 158120.

It is an arithmetic number, because the mean of its divisors is an integer number (1170312).

Almost surely, 2^38078000 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 38078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46812480).

38078000 is an abundant number, since it is smaller than the sum of its proper divisors (55546960).

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

38078000 is a wasteful number, since it uses less digits than its factorization.

38078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 38078000 is about 6170.7373951579. The cubic root of 38078000 is about 336.4274133665.

The spelling of 38078000 in words is "thirty-eight million, seventy-eight thousand".