34738000 has 80 divisors (see below), whose sum is σ = 91690560. Its totient is φ = 12624000.

The previous prime is 34737991. The next prime is 34738013. The reversal of 34738000 is 83743.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21211 + ... + 22789.

It is an arithmetic number, because the mean of its divisors is an integer number (1146132).

Almost surely, 2^34738000 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 34738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45845280).

34738000 is an abundant number, since it is smaller than the sum of its proper divisors (56952560).

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

34738000 is a wasteful number, since it uses less digits than its factorization.

34738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 34738000 is about 5893.8951466751. The cubic root of 34738000 is about 326.2883769440.

The spelling of 34738000 in words is "thirty-four million, seven hundred thirty-eight thousand".