3293465760 has 576 divisors, whose sum is σ = 13076743680. Its totient is φ = 747601920.

The previous prime is 3293465731. The next prime is 3293465767. The reversal of 3293465760 is 675643923.

3293465760 is a `hidden beast` number, since 32 + 9 + 3 + 46 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3293465767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25140895 + ... + 25141025.

It is an arithmetic number, because the mean of its divisors is an integer number (22702680).

Almost surely, 2^3293465760 is an apocalyptic number.

3293465760 is a gapful number since it is divisible by the number (30) 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 3293465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538371840).

3293465760 is an abundant number, since it is smaller than the sum of its proper divisors (9783277920).

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

3293465760 is a wasteful number, since it uses less digits than its factorization.

3293465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3293465760 is about 57388.7250250430. The cubic root of 3293465760 is about 1487.8222559109.

It can be divided in two parts, 3293465 and 760, that added together give a square (3294225 = 1815²).

The spelling of 3293465760 in words is "three billion, two hundred ninety-three million, four hundred sixty-five thousand, seven hundred sixty".