34356000 has 192 divisors, whose sum is σ = 128943360. Its totient is φ = 7833600.

The previous prime is 34355987. The next prime is 34356001. The reversal of 34356000 is 65343.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34356001) 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, 83796 + ... + 84204.

It is an arithmetic number, because the mean of its divisors is an integer number (671580).

Almost surely, 2^34356000 is an apocalyptic number.

34356000 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 34356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64471680).

34356000 is an abundant number, since it is smaller than the sum of its proper divisors (94587360).

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

34356000 is a wasteful number, since it uses less digits than its factorization.

34356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 34356000 is about 5861.3991503736. The cubic root of 34356000 is about 325.0879446419.

The spelling of 34356000 in words is "thirty-four million, three hundred fifty-six thousand".