35029629642 has 64 divisors (see below), whose sum is σ = 84502609920. Its totient is φ = 9456865344.

The previous prime is 35029629629. The next prime is 35029629653. The reversal of 35029629642 is 24692692053.

It is a junction number, because it is equal to n+sod(n) for n = 35029629591 and 35029629600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248328 + ... + 362940.

It is an arithmetic number, because the mean of its divisors is an integer number (1320353280).

Almost surely, 2^35029629642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35029629642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42251304960).

35029629642 is an abundant number, since it is smaller than the sum of its proper divisors (49472980278).

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

35029629642 is a wasteful number, since it uses less digits than its factorization.

35029629642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115027.

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 35029629642 in words is "thirty-five billion, twenty-nine million, six hundred twenty-nine thousand, six hundred forty-two".