34742200 has 48 divisors (see below), whose sum is σ = 81200160. Its totient is φ = 13824000.

The previous prime is 34742177. The next prime is 34742207. The reversal of 34742200 is 224743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34742207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53880 + ... + 54520.

It is an arithmetic number, because the mean of its divisors is an integer number (1691670).

Almost surely, 2^34742200 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 34742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40600080).

34742200 is an abundant number, since it is smaller than the sum of its proper divisors (46457960).

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

34742200 is a wasteful number, since it uses less digits than its factorization.

34742200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 34742200 is about 5894.2514367814. The cubic root of 34742200 is about 326.3015263861.

Adding to 34742200 its reverse (224743), we get a palindrome (34966943).

The spelling of 34742200 in words is "thirty-four million, seven hundred forty-two thousand, two hundred".