34202063844 has 81 divisors (see below), whose sum is σ = 93656688489. Its totient is φ = 10519273440.

The previous prime is 34202063813. The next prime is 34202063849. The reversal of 34202063844 is 44836020243.

The square root of 34202063844 is 184938.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5059476900 + 29142586944 = 71130^2 + 170712^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34202063799 and 34202063808.

It is not an unprimeable number, because it can be changed into a prime (34202063849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14423979 + ... + 14426349.

Almost surely, 2^34202063844 is an apocalyptic number.

34202063844 is the 184938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34202063844

34202063844 is an abundant number, since it is smaller than the sum of its proper divisors (59454624645).

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

34202063844 is a wasteful number, since it uses less digits than its factorization.

34202063844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Multiplying 34202063844 by its sum of digits (36), we get a square (1231274298384 = 1109628²).

34202063844 divided by its sum of digits (36) gives a square (950057329 = 30823²).

The spelling of 34202063844 in words is "thirty-four billion, two hundred two million, sixty-three thousand, eight hundred forty-four".