3445248576 has 224 divisors, whose sum is σ = 11412882432. Its totient is φ = 891095040.

The previous prime is 3445248563. The next prime is 3445248589. The reversal of 3445248576 is 6758425443.

It is an interprime number because it is at equal distance from previous prime (3445248563) and next prime (3445248589).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5868955 + ... + 5869541.

It is an arithmetic number, because the mean of its divisors is an integer number (50950368).

Almost surely, 2^3445248576 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 3445248576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706441216).

3445248576 is an abundant number, since it is smaller than the sum of its proper divisors (7967633856).

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

3445248576 is a wasteful number, since it uses less digits than its factorization.

3445248576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1007 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The square root of 3445248576 is about 58696.2398795698. The cubic root of 3445248576 is about 1510.3358135039.

It can be divided in two parts, 34452 and 48576, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 3445248576 in words is "three billion, four hundred forty-five million, two hundred forty-eight thousand, five hundred seventy-six".