3486784401 has 21 divisors (see below), whose sum is σ = 5230176601. Its totient is φ = 2324522934.

The previous prime is 3486784393. The next prime is 3486784409. The reversal of 3486784401 is 1044876843.

The square root of 3486784401 is 59049.

It is a perfect power (a square, a biquadrate, a 5-th power, a 10-th power, a 20-th power), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3486784393) and next prime (3486784409).

It is an ABA number since it can be written as A⋅B^A, here for A=9, B=9.

It is not a de Polignac number, because 3486784401 - 2³ = 3486784393 is a prime.

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (3).

It is a nialpdrome in base 3 and base 9.

It is not an unprimeable number, because it can be changed into a prime (3486784409) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 1162261466 + 1162261467 + 1162261468.

Almost surely, 2^3486784401 is an apocalyptic number.

3486784401 is the 59049-th square number.

3486784401 is the 29525-th centered octagonal number.

It is an amenable number.

3486784401 is a deficient number, since it is larger than the sum of its proper divisors (1743392200).

3486784401 is an frugal number, since it uses more digits than its factorization.

3486784401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 3 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The cubic root of 3486784401 is about 1516.3811070048.

The spelling of 3486784401 in words is "three billion, four hundred eighty-six million, seven hundred eighty-four thousand, four hundred one".