34402000 has 80 divisors (see below), whose sum is σ = 84494592. Its totient is φ = 13545600.

The previous prime is 34401973. The next prime is 34402001. The reversal of 34402000 is 20443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34402001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205917 + ... + 206083.

Almost surely, 2^34402000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247296).

34402000 is an abundant number, since it is smaller than the sum of its proper divisors (50092592).

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

34402000 is a wasteful number, since it uses less digits than its factorization.

34402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 34402000 is about 5865.3218155528. The cubic root of 34402000 is about 325.2329690561.

Adding to 34402000 its reverse (20443), we get a palindrome (34422443).

The spelling of 34402000 in words is "thirty-four million, four hundred two thousand".