3251227680 has 192 divisors, whose sum is σ = 11457936000. Its totient is φ = 861004800.

The previous prime is 3251227649. The next prime is 3251227687. The reversal of 3251227680 is 867221523.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3251227687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641155 + ... + 646205.

It is an arithmetic number, because the mean of its divisors is an integer number (59676750).

Almost surely, 2^3251227680 is an apocalyptic number.

3251227680 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 3251227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728968000).

3251227680 is an abundant number, since it is smaller than the sum of its proper divisors (8206708320).

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

3251227680 is a wasteful number, since it uses less digits than its factorization.

3251227680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3251227680 is about 57019.5377041940. The cubic root of 3251227680 is about 1481.4345233993.

The spelling of 3251227680 in words is "three billion, two hundred fifty-one million, two hundred twenty-seven thousand, six hundred eighty".