3428677296 has 320 divisors, whose sum is σ = 11110003200. Its totient is φ = 1011985920.

The previous prime is 3428677289. The next prime is 3428677303. The reversal of 3428677296 is 6927768243.

3428677296 is a `hidden beast` number, since 3 + 4 + 286 + 77 + 296 = 666.

It is an interprime number because it is at equal distance from previous prime (3428677289) and next prime (3428677303).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 38524420 + ... + 38524508.

It is an arithmetic number, because the mean of its divisors is an integer number (34718760).

Almost surely, 2^3428677296 is an apocalyptic number.

3428677296 is a gapful number since it is divisible by the number (36) 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 3428677296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555001600).

3428677296 is an abundant number, since it is smaller than the sum of its proper divisors (7681325904).

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

3428677296 is a wasteful number, since it uses less digits than its factorization.

3428677296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 172 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 3428677296 is about 58554.9083852071. The cubic root of 3428677296 is about 1507.9104023580.

The spelling of 3428677296 in words is "three billion, four hundred twenty-eight million, six hundred seventy-seven thousand, two hundred ninety-six".