34748600533350 has 192 divisors, whose sum is σ = 97153641768960. Its totient is φ = 8142900480000.

The previous prime is 34748600533289. The next prime is 34748600533363. The reversal of 34748600533350 is 5333500684743.

It is a junction number, because it is equal to n+sod(n) for n = 34748600533293 and 34748600533302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44677596 + ... + 45448704.

It is an arithmetic number, because the mean of its divisors is an integer number (506008550880).

Almost surely, 2^{34748600533350} is an apocalyptic number.

34748600533350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34748600533350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48576820884480).

34748600533350 is an abundant number, since it is smaller than the sum of its proper divisors (62405041235610).

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

34748600533350 is a wasteful number, since it uses less digits than its factorization.

34748600533350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772047 (or 772042 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 51.

The spelling of 34748600533350 in words is "thirty-four trillion, seven hundred forty-eight billion, six hundred million, five hundred thirty-three thousand, three hundred fifty".