34806343572 has 288 divisors, whose sum is σ = 122081657600. Its totient is φ = 8344892160.

The previous prime is 34806343553. The next prime is 34806343591. The reversal of 34806343572 is 27534360843.

34806343572 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 634 + 3 + 5 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34806343553) and next prime (34806343591).

It is a super-2 number, since 2×34806343572² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1174554 + ... + 1203822.

Almost surely, 2^34806343572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34806343572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61040828800).

34806343572 is an abundant number, since it is smaller than the sum of its proper divisors (87275314028).

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

34806343572 is a wasteful number, since it uses less digits than its factorization.

34806343572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29324 (or 29305 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 34806343572 in words is "thirty-four billion, eight hundred six million, three hundred forty-three thousand, five hundred seventy-two".