3245863680 has 432 divisors, whose sum is σ = 11861740800. Its totient is φ = 818380800.

The previous prime is 3245863639. The next prime is 3245863697. The reversal of 3245863680 is 863685423.

It is a happy number.

3245863680 is a `hidden beast` number, since 3 + 2 + 4 + 5 + 8 + 636 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21784246 + ... + 21784394.

Almost surely, 2^3245863680 is an apocalyptic number.

3245863680 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 3245863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930870400).

3245863680 is an abundant number, since it is smaller than the sum of its proper divisors (8615877120).

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

3245863680 is a wasteful number, since it uses less digits than its factorization.

3245863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3245863680 is about 56972.4817784867. The cubic root of 3245863680 is about 1480.6193657956.

The spelling of 3245863680 in words is "three billion, two hundred forty-five million, eight hundred sixty-three thousand, six hundred eighty".