34265312351552 has 56 divisors (see below), whose sum is σ = 68770298710080. Its totient is φ = 16937425105920.

The previous prime is 34265312351539. The next prime is 34265312351561. The reversal of 34265312351552 is 25515321356243.

It is a happy number.

It is a super-2 number, since 2×34265312351552² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34265312351497 and 34265312351506.

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 7 ways as a sum of consecutive naturals, for example, 35101427 + ... + 36064397.

Almost surely, 2^{34265312351552} is an apocalyptic number.

34265312351552 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 34265312351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34385149355040).

34265312351552 is an abundant number, since it is smaller than the sum of its proper divisors (34504986358528).

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

34265312351552 is an equidigital number, since it uses as much as digits as its factorization.

34265312351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969319 (or 969309 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 47.

The spelling of 34265312351552 in words is "thirty-four trillion, two hundred sixty-five billion, three hundred twelve million, three hundred fifty-one thousand, five hundred fifty-two".