3502867844025 has 405 divisors, whose sum is σ = 7565152109823. Its totient is φ = 1600887499200.

The previous prime is 3502867844023. The next prime is 3502867844029. The reversal of 3502867844025 is 5204487682053.

The square root of 3502867844025 is 1871595.

It is a perfect power (a square), and thus also a powerful number.

3502867844025 is a `hidden beast` number, since 3 + 50 + 2 + 86 + 78 + 440 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1261032423849 + 2241835420176 = 1122957^2 + 1497276^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 3502867844025 - 2¹ = 3502867844023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3502867844023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 17602350876 + ... + 17602351074.

Almost surely, 2^{3502867844025} is an apocalyptic number.

3502867844025 is the 1871595-th square number.

3502867844025 is the 935798-th centered octagonal number.

It is an amenable number.

3502867844025 is an abundant number, since it is smaller than the sum of its proper divisors (4062284265798).

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

3502867844025 is a wasteful number, since it uses less digits than its factorization.

3502867844025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 3502867844025 in words is "three trillion, five hundred two billion, eight hundred sixty-seven million, eight hundred forty-four thousand, twenty-five".