3251971840 has 288 divisors, whose sum is σ = 9086152320. Its totient is φ = 1105133568.

The previous prime is 3251971823. The next prime is 3251971843. The reversal of 3251971840 is 481791523.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3251971793 and 3251971802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3251971843) 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, 11098734 + ... + 11099026.

It is an arithmetic number, because the mean of its divisors is an integer number (31549140).

Almost surely, 2^3251971840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3251971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543076160).

3251971840 is an abundant number, since it is smaller than the sum of its proper divisors (5834180480).

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

3251971840 is a wasteful number, since it uses less digits than its factorization.

3251971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 3251971840 is about 57026.0628134189. The cubic root of 3251971840 is about 1481.5475412420.

The spelling of 3251971840 in words is "three billion, two hundred fifty-one million, nine hundred seventy-one thousand, eight hundred forty".