3482067960900 has 81 divisors (see below), whose sum is σ = 10914524047063. Its totient is φ = 928536528000.

The previous prime is 3482067960869. The next prime is 3482067960919. The reversal of 3482067960900 is 90697602843.

It is a happy number.

The square root of 3482067960900 is 1866030.

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

3482067960900 is a `hidden beast` number, since 3 + 4 + 8 + 20 + 6 + 7 + 9 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1232139960324 + 2249928000576 = 1110018^2 + 1499976^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 55949800 + ... + 56012000.

Almost surely, 2^{3482067960900} is an apocalyptic number.

3482067960900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3482067960900 is the 1866030-th square number.

It is an amenable number.

3482067960900 is an abundant number, since it is smaller than the sum of its proper divisors (7432456086163).

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

3482067960900 is an frugal number, since it uses more digits than its factorization.

3482067960900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124422 (or 62211 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3482067960900 in words is "three trillion, four hundred eighty-two billion, sixty-seven million, nine hundred sixty thousand, nine hundred".