34752000000000 has 640 divisors, whose sum is σ = 116478210728880. Its totient is φ = 9216000000000.

The previous prime is 34751999999987. The next prime is 34752000000061. The reversal of 34752000000000 is 25743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 39 ways as a sum of consecutive naturals, for example, 191999999910 + ... + 192000000090.

Almost surely, 2^{34752000000000} is an apocalyptic number.

34752000000000 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 34752000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58239105364440).

34752000000000 is an abundant number, since it is smaller than the sum of its proper divisors (81726210728880).

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

34752000000000 is an frugal number, since it uses more digits than its factorization.

34752000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

Adding to 34752000000000 its reverse (25743), we get a palindrome (34752000025743).

The spelling of 34752000000000 in words is "thirty-four trillion, seven hundred fifty-two billion", and thus it is an aban number.