38355000 has 80 divisors (see below), whose sum is σ = 119867880. Its totient is φ = 10224000.

The previous prime is 38354993. The next prime is 38355001. The reversal of 38355000 is 55383.

It is a super-2 number, since 2×38355000² = 2942212050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38355001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13722 + ... + 16278.

Almost surely, 2^38355000 is an apocalyptic number.

38355000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59933940).

38355000 is an abundant number, since it is smaller than the sum of its proper divisors (81512880).

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

38355000 is a wasteful number, since it uses less digits than its factorization.

38355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 38355000 is about 6193.1413676744. The cubic root of 38355000 is about 337.2412282542.

The spelling of 38355000 in words is "thirty-eight million, three hundred fifty-five thousand".