3534000358960 has 80 divisors (see below), whose sum is σ = 8641302921216. Its totient is φ = 1341492413184.

The previous prime is 3534000358951. The next prime is 3534000358963. The reversal of 3534000358960 is 698530004353.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 3534000358960.

It is not an unprimeable number, because it can be changed into a prime (3534000358963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7327944 + ... + 7795303.

Almost surely, 2^{3534000358960} is an apocalyptic number.

It is an amenable number.

3534000358960 is an abundant number, since it is smaller than the sum of its proper divisors (5107302562256).

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

3534000358960 is a wasteful number, since it uses less digits than its factorization.

3534000358960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15123410 (or 15123404 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 3534000358960 in words is "three trillion, five hundred thirty-four billion, three hundred fifty-eight thousand, nine hundred sixty".