34236464002020 has 576 divisors, whose sum is σ = 125160762263040. Its totient is φ = 7746244337664.

The previous prime is 34236464001997. The next prime is 34236464002021. The reversal of 34236464002020 is 2020046463243.

34236464002020 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 6 + 4 + 640 + 0 + 2 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×34236464002020² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34236464002021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2460746584 + ... + 2460760496.

It is an arithmetic number, because the mean of its divisors is an integer number (217292990040).

Almost surely, 2^{34236464002020} is an apocalyptic number.

34236464002020 is a gapful number since it is divisible by the number (30) 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 34236464002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62580381131520).

34236464002020 is an abundant number, since it is smaller than the sum of its proper divisors (90924298261020).

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

34236464002020 is a wasteful number, since it uses less digits than its factorization.

34236464002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14881 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 34236464002020 in words is "thirty-four trillion, two hundred thirty-six billion, four hundred sixty-four million, two thousand, twenty".