3445059072 has 320 divisors, whose sum is σ = 11549260800. Its totient is φ = 906780672.

The previous prime is 3445059041. The next prime is 3445059073. The reversal of 3445059072 is 2709505443.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3445059072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445059073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6848773 + ... + 6849275.

It is an arithmetic number, because the mean of its divisors is an integer number (36091440).

Almost surely, 2^3445059072 is an apocalyptic number.

3445059072 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 3445059072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774630400).

3445059072 is an abundant number, since it is smaller than the sum of its proper divisors (8104201728).

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

3445059072 is an equidigital number, since it uses as much as digits as its factorization.

3445059072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 3445059072 is about 58694.6255802011. The cubic root of 3445059072 is about 1510.3081212664.

The spelling of 3445059072 in words is "three billion, four hundred forty-five million, fifty-nine thousand, seventy-two".