3399252480 has 600 divisors, whose sum is σ = 13319545932. Its totient is φ = 828112896.

The previous prime is 3399252473. The next prime is 3399252499. The reversal of 3399252480 is 842529933.

It is a happy number.

3399252480 is a `hidden beast` number, since 3 + 39 + 92 + 52 + 480 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 293642496 + 3105609984 = 17136^2 + 55728^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35043792 + ... + 35043888.

Almost surely, 2^3399252480 is an apocalyptic number.

3399252480 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 3399252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659772966).

3399252480 is an abundant number, since it is smaller than the sum of its proper divisors (9920293452).

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

3399252480 is an equidigital number, since it uses as much as digits as its factorization.

3399252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 120 counting only the distinct ones).

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

The square root of 3399252480 is about 58303.1086649760. The cubic root of 3399252480 is about 1503.5843879529.

The spelling of 3399252480 in words is "three billion, three hundred ninety-nine million, two hundred fifty-two thousand, four hundred eighty".