34296480 has 192 divisors, whose sum is σ = 127370880. Its totient is φ = 8589312.

The previous prime is 34296467. The next prime is 34296481. The reversal of 34296480 is 8469243.

It is a happy number.

34296480 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34296481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73207 + ... + 73673.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^34296480 is an apocalyptic number.

34296480 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 34296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

34296480 is an abundant number, since it is smaller than the sum of its proper divisors (93074400).

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

34296480 is a wasteful number, since it uses less digits than its factorization.

34296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34296480 is about 5856.3196634064. The cubic root of 34296480 is about 324.9001034198.

The spelling of 34296480 in words is "thirty-four million, two hundred ninety-six thousand, four hundred eighty".