3293166720 has 128 divisors (see below), whose sum is σ = 10552544640. Its totient is φ = 873529344.

The previous prime is 3293166691. The next prime is 3293166731. The reversal of 3293166720 is 276613923.

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

It is a super-3 number, since 3×3293166720³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366117 + ... + 375003.

It is an arithmetic number, because the mean of its divisors is an integer number (82441755).

Almost surely, 2^3293166720 is an apocalyptic number.

3293166720 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 3293166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276272320).

3293166720 is an abundant number, since it is smaller than the sum of its proper divisors (7259377920).

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

3293166720 is a wasteful number, since it uses less digits than its factorization.

3293166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9102 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 3293166720 is about 57386.1195760787. The cubic root of 3293166720 is about 1487.7772241352. Note that the first 3 decimals are identical.

The spelling of 3293166720 in words is "three billion, two hundred ninety-three million, one hundred sixty-six thousand, seven hundred twenty".