34131000 has 128 divisors (see below), whose sum is σ = 110223360. Its totient is φ = 8784000.

The previous prime is 34130963. The next prime is 34131001. The reversal of 34131000 is 13143.

It is a super-2 number, since 2×34131000² = 2329850322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131001) 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, 92817 + ... + 93183.

It is an arithmetic number, because the mean of its divisors is an integer number (861120).

Almost surely, 2^34131000 is an apocalyptic number.

34131000 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 34131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55111680).

34131000 is an abundant number, since it is smaller than the sum of its proper divisors (76092360).

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

34131000 is a wasteful number, since it uses less digits than its factorization.

34131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 34131000 is about 5842.1742527932. The cubic root of 34131000 is about 324.3767146972.

Adding to 34131000 its reverse (13143), we get a palindrome (34144143).

The spelling of 34131000 in words is "thirty-four million, one hundred thirty-one thousand".