34141480 has 64 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 12812544.

The previous prime is 34141477. The next prime is 34141489. The reversal of 34141480 is 8414143.

It is not an unprimeable number, because it can be changed into a prime (34141489) 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, 126786 + ... + 127054.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 2^34141480 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 34141480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000).

34141480 is an abundant number, since it is smaller than the sum of its proper divisors (47506520).

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

34141480 is a wasteful number, since it uses less digits than its factorization.

34141480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 34141480 is about 5843.0711102981. The cubic root of 34141480 is about 324.4099114987.

The spelling of 34141480 in words is "thirty-four million, one hundred forty-one thousand, four hundred eighty".