34854000 has 160 divisors (see below), whose sum is σ = 116141376. Its totient is φ = 8985600.

The previous prime is 34853983. The next prime is 34854023. The reversal of 34854000 is 45843.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 221922 + ... + 222078.

Almost surely, 2^34854000 is an apocalyptic number.

34854000 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 34854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58070688).

34854000 is an abundant number, since it is smaller than the sum of its proper divisors (81287376).

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

34854000 is a wasteful number, since it uses less digits than its factorization.

34854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 34854000 is about 5903.7276359941. The cubic root of 34854000 is about 326.6511631311.

Adding to 34854000 its reverse (45843), we get a palindrome (34899843).

The spelling of 34854000 in words is "thirty-four million, eight hundred fifty-four thousand".