3251666880 has 1008 divisors, whose sum is σ = 14840297472. Its totient is φ = 638668800.

The previous prime is 3251666879. The next prime is 3251666917. The reversal of 3251666880 is 886661523.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75620139 + ... + 75620181.

Almost surely, 2^3251666880 is an apocalyptic number.

3251666880 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 3251666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420148736).

3251666880 is an abundant number, since it is smaller than the sum of its proper divisors (11588630592).

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

3251666880 is a wasteful number, since it uses less digits than its factorization.

3251666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3251666880 is about 57023.3888856143. The cubic root of 3251666880 is about 1481.5012281245.

The spelling of 3251666880 in words is "three billion, two hundred fifty-one million, six hundred sixty-six thousand, eight hundred eighty".