34829329040 has 40 divisors (see below), whose sum is σ = 88339845888. Its totient is φ = 12665210240.

The previous prime is 34829329013. The next prime is 34829329091. The reversal of 34829329040 is 4092392843.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34829329040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 34829328982 and 34829329000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19788512 + ... + 19790271.

Almost surely, 2^34829329040 is an apocalyptic number.

It is an amenable number.

34829329040 is an abundant number, since it is smaller than the sum of its proper divisors (53510516848).

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

34829329040 is a wasteful number, since it uses less digits than its factorization.

34829329040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39578807 (or 39578801 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 34829329040 in words is "thirty-four billion, eight hundred twenty-nine million, three hundred twenty-nine thousand, forty".