3445338624 has 240 divisors, whose sum is σ = 11369147328. Its totient is φ = 902873088.

The previous prime is 3445338601. The next prime is 3445338629. The reversal of 3445338624 is 4268335443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445338629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21944754 + ... + 21944910.

Almost surely, 2^3445338624 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 3445338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684573664).

3445338624 is an abundant number, since it is smaller than the sum of its proper divisors (7923808704).

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

3445338624 is an equidigital number, since it uses as much as digits as its factorization.

3445338624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 182 counting only the distinct ones).

The product of its digits is 829440, while the sum is 42.

The square root of 3445338624 is about 58697.0069424328. The cubic root of 3445338624 is about 1510.3489718708.

The spelling of 3445338624 in words is "three billion, four hundred forty-five million, three hundred thirty-eight thousand, six hundred twenty-four".