3293687880 has 384 divisors, whose sum is σ = 12911184000. Its totient is φ = 744629760.

The previous prime is 3293687879. The next prime is 3293687893. The reversal of 3293687880 is 887863923.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5767995 + ... + 5768565.

It is an arithmetic number, because the mean of its divisors is an integer number (33622875).

Almost surely, 2^3293687880 is an apocalyptic number.

3293687880 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 3293687880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455592000).

3293687880 is an abundant number, since it is smaller than the sum of its proper divisors (9617496120).

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

3293687880 is a wasteful number, since it uses less digits than its factorization.

3293687880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3293687880 is about 57390.6602157529. The cubic root of 3293687880 is about 1487.8557027087.

The spelling of 3293687880 in words is "three billion, two hundred ninety-three million, six hundred eighty-seven thousand, eight hundred eighty".