3409011072 has 96 divisors (see below), whose sum is σ = 9845629560. Its totient is φ = 1132185600.

The previous prime is 3409011049. The next prime is 3409011107. The reversal of 3409011072 is 2701109043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318447 + ... + 328977.

Almost surely, 2^3409011072 is an apocalyptic number.

3409011072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922814780).

3409011072 is an abundant number, since it is smaller than the sum of its proper divisors (6436618488).

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

3409011072 is a wasteful number, since it uses less digits than its factorization.

3409011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10832 (or 10817 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3409011072 is about 58386.7371241106. The cubic root of 3409011072 is about 1505.0218459465.

The spelling of 3409011072 in words is "three billion, four hundred nine million, eleven thousand, seventy-two".