35002265952 has 96 divisors (see below), whose sum is σ = 95120736480. Its totient is φ = 11256627200.

The previous prime is 35002265939. The next prime is 35002265959. The reversal of 35002265952 is 25956220053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 35002265952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35002265959) 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, 4453258 + ... + 4461110.

It is an arithmetic number, because the mean of its divisors is an integer number (990841005).

Almost surely, 2^35002265952 is an apocalyptic number.

35002265952 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 35002265952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47560368240).

35002265952 is an abundant number, since it is smaller than the sum of its proper divisors (60118470528).

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

35002265952 is a wasteful number, since it uses less digits than its factorization.

35002265952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9496 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 35002265952 in words is "thirty-five billion, two million, two hundred sixty-five thousand, nine hundred fifty-two".