3246578496 has 210 divisors, whose sum is σ = 11195996658. Its totient is φ = 927521280.

The previous prime is 3246578483. The next prime is 3246578497. The reversal of 3246578496 is 6948756423.

3246578496 is a `hidden beast` number, since 3 + 24 + 6 + 578 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3017964096 + 228614400 = 54936^2 + 15120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3246578497) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 247626 + ... + 260406.

Almost surely, 2^3246578496 is an apocalyptic number.

3246578496 is a gapful number since it is divisible by the number (36) 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 3246578496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597998329).

3246578496 is an abundant number, since it is smaller than the sum of its proper divisors (7949418162).

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

3246578496 is a wasteful number, since it uses less digits than its factorization.

3246578496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12793 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3246578496 is about 56978.7547775484. The cubic root of 3246578496 is about 1480.7280469597.

The spelling of 3246578496 in words is "three billion, two hundred forty-six million, five hundred seventy-eight thousand, four hundred ninety-six".