35490867120 has 160 divisors (see below), whose sum is σ = 122582154240. Its totient is φ = 9438232320.

The previous prime is 35490867109. The next prime is 35490867149. The reversal of 35490867120 is 2176809453.

35490867120 is a `hidden beast` number, since 3 + 549 + 0 + 86 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770335 + ... + 815105.

It is an arithmetic number, because the mean of its divisors is an integer number (766138464).

It is a 1-persistent number, because it is pandigital, but 2⋅35490867120 = 70981734240 is not.

Almost surely, 2^35490867120 is an apocalyptic number.

35490867120 is a gapful number since it is divisible by the number (30) 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 35490867120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61291077120).

35490867120 is an abundant number, since it is smaller than the sum of its proper divisors (87091287120).

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

35490867120 is a wasteful number, since it uses less digits than its factorization.

35490867120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45160 (or 45148 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 35490867120 in words is "thirty-five billion, four hundred ninety million, eight hundred sixty-seven thousand, one hundred twenty".