3484806144 has 88 divisors (see below), whose sum is σ = 9427466688. Its totient is φ = 1144197120.

The previous prime is 3484806139. The next prime is 3484806151. The reversal of 3484806144 is 4416084843.

3484806144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3484806144² = 24287747722520297472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3484806096 and 3484806105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197359 + ... + 214289.

Almost surely, 2^3484806144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713733344).

3484806144 is an abundant number, since it is smaller than the sum of its proper divisors (5942660544).

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

3484806144 is a wasteful number, since it uses less digits than its factorization.

3484806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17021 (or 17003 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 3484806144 is about 59032.2466453717. The cubic root of 3484806144 is about 1516.0942754821.

It can be divided in two parts, 3484 and 806144, that added together give a triangular number (809628 = T₁₂₇₂).

The spelling of 3484806144 in words is "three billion, four hundred eighty-four million, eight hundred six thousand, one hundred forty-four".