35342144000 has 160 divisors (see below), whose sum is σ = 89052019056. Its totient is φ = 13988659200.

The previous prime is 35342143987. The next prime is 35342144027. The reversal of 35342144000 is 44124353.

It can be written as a sum of positive squares in 8 ways, for example, as 124367104 + 35217776896 = 11152^2 + 187664^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6205154 + ... + 6210846.

Almost surely, 2^35342144000 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 35342144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44526009528).

35342144000 is an abundant number, since it is smaller than the sum of its proper divisors (53709875056).

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

35342144000 is an frugal number, since it uses more digits than its factorization.

35342144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 35342144000 its reverse (44124353), we get a palindrome (35386268353).

The spelling of 35342144000 in words is "thirty-five billion, three hundred forty-two million, one hundred forty-four thousand".