3428399520 has 1344 divisors, whose sum is σ = 16658369280. Its totient is φ = 644972544.

The previous prime is 3428399509. The next prime is 3428399543. The reversal of 3428399520 is 259938243.

It is a happy number.

3428399520 is a `hidden beast` number, since 3 + 42 + 83 + 9 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 180442071 + ... + 180442089.

It is an arithmetic number, because the mean of its divisors is an integer number (12394620).

Almost surely, 2^3428399520 is an apocalyptic number.

3428399520 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 3428399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329184640).

3428399520 is an abundant number, since it is smaller than the sum of its proper divisors (13229969760).

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

3428399520 is a wasteful number, since it uses less digits than its factorization.

3428399520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3428399520 is about 58552.5364096211. The cubic root of 3428399520 is about 1507.8696798873.

The spelling of 3428399520 in words is "three billion, four hundred twenty-eight million, three hundred ninety-nine thousand, five hundred twenty".