3547840464 has 240 divisors, whose sum is σ = 11657468160. Its totient is φ = 986388480.

The previous prime is 3547840441. The next prime is 3547840489. The reversal of 3547840464 is 4640487453.

3547840464 is a `hidden beast` number, since 3 + 547 + 8 + 40 + 4 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6369274 + ... + 6369830.

It is an arithmetic number, because the mean of its divisors is an integer number (48572784).

Almost surely, 2^3547840464 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 3547840464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828734080).

3547840464 is an abundant number, since it is smaller than the sum of its proper divisors (8109627696).

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

3547840464 is a wasteful number, since it uses less digits than its factorization.

3547840464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 3547840464 is about 59563.7512586304. The cubic root of 3547840464 is about 1525.1809104020.

The spelling of 3547840464 in words is "three billion, five hundred forty-seven million, eight hundred forty thousand, four hundred sixty-four".