34212480 has 128 divisors (see below), whose sum is σ = 110747520. Its totient is φ = 8982528.

The previous prime is 34212473. The next prime is 34212481. The reversal of 34212480 is 8421243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34212480.

It is not an unprimeable number, because it can be changed into a prime (34212481) 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, 197674 + ... + 197846.

It is an arithmetic number, because the mean of its divisors is an integer number (865215).

Almost surely, 2^34212480 is an apocalyptic number.

34212480 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 34212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55373760).

34212480 is an abundant number, since it is smaller than the sum of its proper divisors (76535040).

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

34212480 is a wasteful number, since it uses less digits than its factorization.

34212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 34212480 is about 5849.1435270474. The cubic root of 34212480 is about 324.6346347750.

The spelling of 34212480 in words is "thirty-four million, two hundred twelve thousand, four hundred eighty".