3428635392 has 720 divisors, whose sum is σ = 13296138240. Its totient is φ = 853991424.

The previous prime is 3428635387. The next prime is 3428635393. The reversal of 3428635392 is 2935368243.

3428635392 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 635 + 3 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3428635393) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 43400409 + ... + 43400487.

Almost surely, 2^3428635392 is an apocalyptic number.

3428635392 is a gapful number since it is divisible by the number (32) 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 3428635392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648069120).

3428635392 is an abundant number, since it is smaller than the sum of its proper divisors (9867502848).

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

3428635392 is a wasteful number, since it uses less digits than its factorization.

3428635392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3428635392 is about 58554.5505661174. The cubic root of 3428635392 is about 1507.9042592956.

The spelling of 3428635392 in words is "three billion, four hundred twenty-eight million, six hundred thirty-five thousand, three hundred ninety-two".