34398000 has 480 divisors, whose sum is σ = 154365120. Its totient is φ = 7257600.

The previous prime is 34397989. The next prime is 34398011. The reversal of 34398000 is 89343.

It is an interprime number because it is at equal distance from previous prime (34397989) and next prime (34398011).

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

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, 2645994 + ... + 2646006.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 2^34398000 is an apocalyptic number.

34398000 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 34398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

34398000 is an abundant number, since it is smaller than the sum of its proper divisors (119967120).

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

34398000 is a wasteful number, since it uses less digits than its factorization.

34398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

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

The square root of 34398000 is about 5864.9808183830. The cubic root of 34398000 is about 325.2203633713.

The spelling of 34398000 in words is "thirty-four million, three hundred ninety-eight thousand".