3428075520 has 240 divisors, whose sum is σ = 12290257980. Its totient is φ = 913932288.

The previous prime is 3428075501. The next prime is 3428075527. The reversal of 3428075520 is 255708243.

It can be written as a sum of positive squares in 2 ways, for example, as 3418039296 + 10036224 = 58464^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (3428075527) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 827374 + ... + 831506.

Almost surely, 2^3428075520 is an apocalyptic number.

3428075520 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 3428075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145128990).

3428075520 is an abundant number, since it is smaller than the sum of its proper divisors (8862182460).

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

3428075520 is an equidigital number, since it uses as much as digits as its factorization.

3428075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3428075520 is about 58549.7695981803. The cubic root of 3428075520 is about 1507.8221781143.

The spelling of 3428075520 in words is "three billion, four hundred twenty-eight million, seventy-five thousand, five hundred twenty".