34046752343552 has 320 divisors, whose sum is σ = 78709466271744. Its totient is φ = 14573621084160.

The previous prime is 34046752343543. The next prime is 34046752343561. The reversal of 34046752343552 is 25534325764043.

It is an interprime number because it is at equal distance from previous prime (34046752343543) and next prime (34046752343561).

It is a junction number, because it is equal to n+sod(n) for n = 34046752343494 and 34046752343503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2312480063 + ... + 2312494785.

Almost surely, 2^{34046752343552} is an apocalyptic number.

34046752343552 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 34046752343552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39354733135872).

34046752343552 is an abundant number, since it is smaller than the sum of its proper divisors (44662713928192).

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

34046752343552 is a wasteful number, since it uses less digits than its factorization.

34046752343552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15069 (or 15053 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 53.

The spelling of 34046752343552 in words is "thirty-four trillion, forty-six billion, seven hundred fifty-two million, three hundred forty-three thousand, five hundred fifty-two".