34613341632 has 112 divisors (see below), whose sum is σ = 102145063680. Its totient is φ = 11493759744.

The previous prime is 34613341621. The next prime is 34613341663. The reversal of 34613341632 is 23614331643.

34613341632 is a `hidden beast` number, since 3 + 4 + 6 + 13 + 3 + 4 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416383 + ... + 492545.

Almost surely, 2^34613341632 is an apocalyptic number.

34613341632 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 34613341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51072531840).

34613341632 is an abundant number, since it is smaller than the sum of its proper divisors (67531722048).

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

34613341632 is a wasteful number, since it uses less digits than its factorization.

34613341632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76447 (or 76431 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 34613341632 in words is "thirty-four billion, six hundred thirteen million, three hundred forty-one thousand, six hundred thirty-two".