34728832536000 has 896 divisors, whose sum is σ = 119983938197760. Its totient is φ = 8843821056000.

The previous prime is 34728832535987. The next prime is 34728832536029. The reversal of 34728832536000 is 63523882743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9840982236 + ... + 9840985764.

It is an arithmetic number, because the mean of its divisors is an integer number (133910645310).

Almost surely, 2^{34728832536000} is an apocalyptic number.

34728832536000 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 34728832536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59991969098880).

34728832536000 is an abundant number, since it is smaller than the sum of its proper divisors (85255105661760).

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

34728832536000 is a wasteful number, since it uses less digits than its factorization.

34728832536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 34728832536000 in words is "thirty-four trillion, seven hundred twenty-eight billion, eight hundred thirty-two million, five hundred thirty-six thousand".