34433164840 has 32 divisors (see below), whose sum is σ = 77507373960. Its totient is φ = 13767443200.

The previous prime is 34433164823. The next prime is 34433164841. The reversal of 34433164840 is 4846133443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13800140676 + 20633024164 = 117474^2 + 143642^2 .

It is a super-2 number, since 2×34433164840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34433164793 and 34433164802.

It is not an unprimeable number, because it can be changed into a prime (34433164841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85531 + ... + 276010.

Almost surely, 2^34433164840 is an apocalyptic number.

It is an amenable number.

34433164840 is an abundant number, since it is smaller than the sum of its proper divisors (43074209120).

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

34433164840 is a wasteful number, since it uses less digits than its factorization.

34433164840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363933 (or 363929 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 34433164840 in words is "thirty-four billion, four hundred thirty-three million, one hundred sixty-four thousand, eight hundred forty".