34835052672 has 256 divisors, whose sum is σ = 120235315200. Its totient is φ = 9721119744.

The previous prime is 34835052649. The next prime is 34835052727. The reversal of 34835052672 is 27625053843.

34835052672 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 50 + 526 + 72 = 666.

It is a super-2 number, since 2×34835052672² (a number of 22 digits) contains 22 as substring.

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, 1023513 + ... + 1056999.

It is an arithmetic number, because the mean of its divisors is an integer number (469669200).

Almost surely, 2^34835052672 is an apocalyptic number.

34835052672 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 34835052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60117657600).

34835052672 is an abundant number, since it is smaller than the sum of its proper divisors (85400262528).

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

34835052672 is a wasteful number, since it uses less digits than its factorization.

34835052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33560 (or 33542 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 34835052672 in words is "thirty-four billion, eight hundred thirty-five million, fifty-two thousand, six hundred seventy-two".