3251393640 has 192 divisors, whose sum is σ = 11581652160. Its totient is φ = 784527360.

The previous prime is 3251393617. The next prime is 3251393693. The reversal of 3251393640 is 463931523.

It is a happy number.

3251393640 is a `hidden beast` number, since 3 + 2 + 5 + 1 + 3 + 9 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3251393595 and 3251393604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897112 + ... + 900728.

It is an arithmetic number, because the mean of its divisors is an integer number (60321105).

Almost surely, 2^3251393640 is an apocalyptic number.

3251393640 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 3251393640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790826080).

3251393640 is an abundant number, since it is smaller than the sum of its proper divisors (8330258520).

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

3251393640 is a wasteful number, since it uses less digits than its factorization.

3251393640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3251393640 is about 57020.9929762715. The cubic root of 3251393640 is about 1481.4597297433.

The spelling of 3251393640 in words is "three billion, two hundred fifty-one million, three hundred ninety-three thousand, six hundred forty".