3445185420 has 96 divisors (see below), whose sum is σ = 10774794240. Its totient is φ = 913878720.

The previous prime is 3445185397. The next prime is 3445185437. The reversal of 3445185420 is 245815443.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 86439 + ... + 119841.

It is an arithmetic number, because the mean of its divisors is an integer number (112237440).

Almost surely, 2^3445185420 is an apocalyptic number.

3445185420 is a gapful number since it is divisible by the number (30) 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 3445185420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387397120).

3445185420 is an abundant number, since it is smaller than the sum of its proper divisors (7329608820).

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

3445185420 is a wasteful number, since it uses less digits than its factorization.

3445185420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33612 (or 33604 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 3445185420 is about 58695.7018869355. The cubic root of 3445185420 is about 1510.3265846244.

The spelling of 3445185420 in words is "three billion, four hundred forty-five million, one hundred eighty-five thousand, four hundred twenty".