3273812640 has 576 divisors, whose sum is σ = 13842855936. Its totient is φ = 714396672.

The previous prime is 3273812573. The next prime is 3273812669. The reversal of 3273812640 is 462183723.

It is a happy number.

3273812640 is a `hidden beast` number, since 3 + 2 + 7 + 3 + 8 + 1 + 2 + 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 = 3273812595 and 3273812604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6259419 + ... + 6259941.

It is an arithmetic number, because the mean of its divisors is an integer number (24032736).

Almost surely, 2^3273812640 is an apocalyptic number.

3273812640 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 3273812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921427968).

3273812640 is an abundant number, since it is smaller than the sum of its proper divisors (10569043296).

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

3273812640 is a wasteful number, since it uses less digits than its factorization.

3273812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3273812640 is about 57217.2407583588. The cubic root of 3273812640 is about 1484.8569191805.

The spelling of 3273812640 in words is "three billion, two hundred seventy-three million, eight hundred twelve thousand, six hundred forty".