34523899748352 has 672 divisors, whose sum is σ = 120814665184512. Its totient is φ = 9273477169152.

The previous prime is 34523899748329. The next prime is 34523899748353. The reversal of 34523899748352 is 25384799832543.

34523899748352 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 3 + 8 + 9 + 97 + 483 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34523899748353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11256568323 + ... + 11256571389.

Almost surely, 2^{34523899748352} is an apocalyptic number.

34523899748352 is a gapful number since it is divisible by the number (32) 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 34523899748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60407332592256).

34523899748352 is an abundant number, since it is smaller than the sum of its proper divisors (86290765436160).

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

34523899748352 is a wasteful number, since it uses less digits than its factorization.

34523899748352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4379 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 34523899748352 in words is "thirty-four trillion, five hundred twenty-three billion, eight hundred ninety-nine million, seven hundred forty-eight thousand, three hundred fifty-two".