3402828288 has 240 divisors, whose sum is σ = 10384710336. Its totient is φ = 1070530560.

The previous prime is 3402828287. The next prime is 3402828301. The reversal of 3402828288 is 8828282043.

It is a happy number.

3402828288 is a `hidden beast` number, since 340 + 2 + 8 + 28 + 288 = 666.

It is a super-2 number, since 2×3402828288² = 23158480715226021888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3402828283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10280283 + ... + 10280613.

Almost surely, 2^3402828288 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 3402828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192355168).

3402828288 is an abundant number, since it is smaller than the sum of its proper divisors (6981882048).

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

3402828288 is a wasteful number, since it uses less digits than its factorization.

3402828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 3402828288 is about 58333.7662764886. The cubic root of 3402828288 is about 1504.1114298005. Note that the first 3 decimals are identical.

The spelling of 3402828288 in words is "three billion, four hundred two million, eight hundred twenty-eight thousand, two hundred eighty-eight".