3409724544 has 64 divisors (see below), whose sum is σ = 9589868640. Its totient is φ = 1069715456.

The previous prime is 3409724543. The next prime is 3409724567. The reversal of 3409724544 is 4454279043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3409724496 and 3409724505.

It is not an unprimeable number, because it can be changed into a prime (3409724543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254634 + ... + 267689.

Almost surely, 2^3409724544 is an apocalyptic number.

3409724544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3409724544 is an abundant number, since it is smaller than the sum of its proper divisors (6180144096).

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

3409724544 is a wasteful number, since it uses less digits than its factorization.

3409724544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522357 (or 522345 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3409724544 is about 58392.8466851891. The cubic root of 3409724544 is about 1505.1268339740.

The spelling of 3409724544 in words is "three billion, four hundred nine million, seven hundred twenty-four thousand, five hundred forty-four".