3240465792 has 128 divisors (see below), whose sum is σ = 8873388000. Its totient is φ = 1047281664.

The previous prime is 3240465779. The next prime is 3240465793. The reversal of 3240465792 is 2975640423.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240465793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1810434 + ... + 1812222.

Almost surely, 2^3240465792 is an apocalyptic number.

3240465792 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 3240465792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436694000).

3240465792 is an abundant number, since it is smaller than the sum of its proper divisors (5632922208).

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

3240465792 is a wasteful number, since it uses less digits than its factorization.

3240465792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3240465792 is about 56925.0893016427. The cubic root of 3240465792 is about 1479.7981511915.

The spelling of 3240465792 in words is "three billion, two hundred forty million, four hundred sixty-five thousand, seven hundred ninety-two".