3244393152 has 672 divisors, whose sum is σ = 13260409344. Its totient is φ = 729907200.

The previous prime is 3244393151. The next prime is 3244393219. The reversal of 3244393152 is 2513934423.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×3244393152³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3244393151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9801627 + ... + 9801957.

It is an arithmetic number, because the mean of its divisors is an integer number (19732752).

Almost surely, 2^3244393152 is an apocalyptic number.

3244393152 is a gapful number since it is divisible by the number (32) 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 3244393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630204672).

3244393152 is an abundant number, since it is smaller than the sum of its proper divisors (10016016192).

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

3244393152 is a wasteful number, since it uses less digits than its factorization.

3244393152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3244393152 is about 56959.5747175135. The cubic root of 3244393152 is about 1480.3957354220.

Subtracting from 3244393152 its reverse (2513934423), we obtain a square (730458729 = 27027²).

The spelling of 3244393152 in words is "three billion, two hundred forty-four million, three hundred ninety-three thousand, one hundred fifty-two".