3444670152 has 640 divisors, whose sum is σ = 13247815680. Its totient is φ = 808704000.

The previous prime is 3444670133. The next prime is 3444670157. The reversal of 3444670152 is 2510764443.

3444670152 is a `hidden beast` number, since 3 + 44 + 467 + 0 + 152 = 666.

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 (3444670157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26295127 + ... + 26295257.

It is an arithmetic number, because the mean of its divisors is an integer number (20699712).

Almost surely, 2^3444670152 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 3444670152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623907840).

3444670152 is an abundant number, since it is smaller than the sum of its proper divisors (9803145528).

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

3444670152 is a wasteful number, since it uses less digits than its factorization.

3444670152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3444670152 is about 58691.3124065223. The cubic root of 3444670152 is about 1510.2512851689.

The spelling of 3444670152 in words is "three billion, four hundred forty-four million, six hundred seventy thousand, one hundred fifty-two".