34402727052 has 192 divisors, whose sum is σ = 93374023680. Its totient is φ = 10945497600.

The previous prime is 34402727039. The next prime is 34402727129. The reversal of 34402727052 is 25072720443.

It is a happy number.

It is a super-2 number, since 2×34402727052² (a number of 22 digits) contains 22 as substring.

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 = 34402726998 and 34402727016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42419727 + ... + 42420537.

It is an arithmetic number, because the mean of its divisors is an integer number (486323040).

Almost surely, 2^34402727052 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 34402727052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46687011840).

34402727052 is an abundant number, since it is smaller than the sum of its proper divisors (58971296628).

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

34402727052 is a wasteful number, since it uses less digits than its factorization.

34402727052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 34402727052 in words is "thirty-four billion, four hundred two million, seven hundred twenty-seven thousand, fifty-two".