35350002000 has 120 divisors (see below), whose sum is σ = 123465836520. Its totient is φ = 9426662400.

The previous prime is 35350001989. The next prime is 35350002029. The reversal of 35350002000 is 20005353.

It can be written as a sum of positive squares in 4 ways, for example, as 6268838976 + 29081163024 = 79176^2 + 170532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963945 + ... + 999944.

It is an arithmetic number, because the mean of its divisors is an integer number (1028881971).

Almost surely, 2^35350002000 is an apocalyptic number.

35350002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35350002000 is an abundant number, since it is smaller than the sum of its proper divisors (88115834520).

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

35350002000 is a wasteful number, since it uses less digits than its factorization.

35350002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963918 (or 1963899 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

Adding to 35350002000 its reverse (20005353), we get a palindrome (35370007353).

The spelling of 35350002000 in words is "thirty-five billion, three hundred fifty million, two thousand".