3209725440 has 400 divisors, whose sum is σ = 12013882848. Its totient is φ = 817496064.

The previous prime is 3209725439. The next prime is 3209725447. The reversal of 3209725440 is 445279023.

3209725440 is a `hidden beast` number, since 3 + 20 + 97 + 2 + 544 + 0 = 666.

It is a super-3 number, since 3×3209725440³ (a number of 29 digits) contains 333 as substring.

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 = 3209725395 and 3209725404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209725447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4768944 + ... + 4769616.

Almost surely, 2^3209725440 is an apocalyptic number.

3209725440 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 3209725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006941424).

3209725440 is an abundant number, since it is smaller than the sum of its proper divisors (8804157408).

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

3209725440 is an equidigital number, since it uses as much as digits as its factorization.

3209725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3209725440 is about 56654.4388375704. The cubic root of 3209725440 is about 1475.1039574340.

The spelling of 3209725440 in words is "three billion, two hundred nine million, seven hundred twenty-five thousand, four hundred forty".