34248009600 has 768 divisors, whose sum is σ = 151715289600. Its totient is φ = 7365427200.

The previous prime is 34248009581. The next prime is 34248009613. The reversal of 34248009600 is 690084243.

It is a happy number.

34248009600 is a `hidden beast` number, since 3 + 4 + 2 + 48 + 0 + 0 + 9 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10279935 + ... + 10283265.

It is an arithmetic number, because the mean of its divisors is an integer number (197545950).

Almost surely, 2^34248009600 is an apocalyptic number.

34248009600 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 34248009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75857644800).

34248009600 is an abundant number, since it is smaller than the sum of its proper divisors (117467280000).

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

34248009600 is a wasteful number, since it uses less digits than its factorization.

34248009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3365 counting only the distinct ones).

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

The spelling of 34248009600 in words is "thirty-four billion, two hundred forty-eight million, nine thousand, six hundred".