35242829952 has 128 divisors (see below), whose sum is σ = 102639744000. Its totient is φ = 10625725440.

The previous prime is 35242829933. The next prime is 35242829957. The reversal of 35242829952 is 25992824253.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 35242829895 and 35242829904.

It is not an unprimeable number, because it can be changed into a prime (35242829957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819613 + ... + 861539.

It is an arithmetic number, because the mean of its divisors is an integer number (801873000).

Almost surely, 2^35242829952 is an apocalyptic number.

35242829952 is a gapful number since it is divisible by the number (32) 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 35242829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51319872000).

35242829952 is an abundant number, since it is smaller than the sum of its proper divisors (67396914048).

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

35242829952 is a wasteful number, since it uses less digits than its factorization.

35242829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42154 (or 42142 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 35242829952 in words is "thirty-five billion, two hundred forty-two million, eight hundred twenty-nine thousand, nine hundred fifty-two".