3406011648 has 144 divisors (see below), whose sum is σ = 9851916480. Its totient is φ = 1038385152.

The previous prime is 3406011647. The next prime is 3406011671. The reversal of 3406011648 is 8461106043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406011641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126683 + ... + 1129701.

Almost surely, 2^3406011648 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 3406011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925958240).

3406011648 is an abundant number, since it is smaller than the sum of its proper divisors (6445904832).

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

3406011648 is a wasteful number, since it uses less digits than its factorization.

3406011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3406011648 is about 58361.0456383365. The cubic root of 3406011648 is about 1504.5803177791.

The spelling of 3406011648 in words is "three billion, four hundred six million, eleven thousand, six hundred forty-eight".