934038000 has 480 divisors, whose sum is σ = 3903232320. Its totient is φ = 212889600.

The previous prime is 934037971. The next prime is 934038013. The reversal of 934038000 is 830439.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2645824 + ... + 2646176.

It is an arithmetic number, because the mean of its divisors is an integer number (8131734).

Almost surely, 2^934038000 is an apocalyptic number.

934038000 is a gapful number since it is divisible by the number (90) 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 934038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951616160).

934038000 is an abundant number, since it is smaller than the sum of its proper divisors (2969194320).

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

934038000 is a wasteful number, since it uses less digits than its factorization.

934038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 934038000 is about 30562.0352725403. The cubic root of 934038000 is about 977.5106890248.

Adding to 934038000 its reverse (830439), we get a palindrome (934868439).

The spelling of 934038000 in words is "nine hundred thirty-four million, thirty-eight thousand".