3246649344 has 208 divisors, whose sum is σ = 9939287040. Its totient is φ = 1046200320.

The previous prime is 3246649337. The next prime is 3246649349. The reversal of 3246649344 is 4439466423.

It is a happy number.

3246649344 is a `hidden beast` number, since 3 + 246 + 64 + 9 + 344 = 666.

It is a super-4 number, since 4×3246649344⁴ (a number of 39 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3246649344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3246649349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3427879 + ... + 3428825.

Almost surely, 2^3246649344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3246649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969643520).

3246649344 is an abundant number, since it is smaller than the sum of its proper divisors (6692637696).

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

3246649344 is an equidigital number, since it uses as much as digits as its factorization.

3246649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 983 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 3246649344 is about 56979.3764795650. The cubic root of 3246649344 is about 1480.7388178741.

It can be divided in two parts, 32466 and 49344, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 3246649344 in words is "three billion, two hundred forty-six million, six hundred forty-nine thousand, three hundred forty-four".