38419000 has 64 divisors (see below), whose sum is σ = 91016640. Its totient is φ = 15177600.

The previous prime is 38418977. The next prime is 38419019. The reversal of 38419000 is 91483.

It is a super-2 number, since 2×38419000² = 2952039122000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102814 + ... + 103186.

It is an arithmetic number, because the mean of its divisors is an integer number (1422135).

Almost surely, 2^38419000 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 38419000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45508320).

38419000 is an abundant number, since it is smaller than the sum of its proper divisors (52597640).

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

38419000 is a wasteful number, since it uses less digits than its factorization.

38419000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 38419000 is about 6198.3062202508. The cubic root of 38419000 is about 337.4287000732.

The spelling of 38419000 in words is "thirty-eight million, four hundred nineteen thousand".