35634219348072 has 128 divisors (see below), whose sum is σ = 92503767121920. Its totient is φ = 11426976288000.

The previous prime is 35634219347953. The next prime is 35634219348089. The reversal of 35634219348072 is 27084391243653.

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, 133774297 + ... + 134040407.

It is an arithmetic number, because the mean of its divisors is an integer number (722685680640).

It is a 1-persistent number, because it is pandigital, but 2⋅35634219348072 = 71268438696144 is not.

Almost surely, 2^{35634219348072} 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 35634219348072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46251883560960).

35634219348072 is an abundant number, since it is smaller than the sum of its proper divisors (56869547773848).

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

35634219348072 is a wasteful number, since it uses less digits than its factorization.

35634219348072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267215 (or 267211 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 35634219348072 in words is "thirty-five trillion, six hundred thirty-four billion, two hundred nineteen million, three hundred forty-eight thousand, seventy-two".