3251992320 has 288 divisors, whose sum is σ = 11707214400. Its totient is φ = 854654976.

The previous prime is 3251992313. The next prime is 3251992321. The reversal of 3251992320 is 232991523.

3251992320 is a `hidden beast` number, since 32 + 519 + 92 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3251992321) 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, 2522236 + ... + 2523524.

It is an arithmetic number, because the mean of its divisors is an integer number (40650050).

Almost surely, 2^3251992320 is an apocalyptic number.

3251992320 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 3251992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853607200).

3251992320 is an abundant number, since it is smaller than the sum of its proper divisors (8455222080).

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

3251992320 is a wasteful number, since it uses less digits than its factorization.

3251992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3251992320 is about 57026.2423801534. The cubic root of 3251992320 is about 1481.5506513581.

The spelling of 3251992320 in words is "three billion, two hundred fifty-one million, nine hundred ninety-two thousand, three hundred twenty".