35013873132 has 384 divisors, whose sum is σ = 116328038400. Its totient is φ = 8866132992.

The previous prime is 35013873127. The next prime is 35013873163. The reversal of 35013873132 is 23137831053.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54453603 + ... + 54454245.

It is an arithmetic number, because the mean of its divisors is an integer number (302937600).

Almost surely, 2^35013873132 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 35013873132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58164019200).

35013873132 is an abundant number, since it is smaller than the sum of its proper divisors (81314165268).

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

35013873132 is a wasteful number, since it uses less digits than its factorization.

35013873132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 35013873132 in words is "thirty-five billion, thirteen million, eight hundred seventy-three thousand, one hundred thirty-two".