3426628896 has 72 divisors (see below), whose sum is σ = 10058840064. Its totient is φ = 1105361280.

The previous prime is 3426628889. The next prime is 3426628897. The reversal of 3426628896 is 6988266243.

3426628896 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 628 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3426628897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182976 + ... + 200831.

It is an arithmetic number, because the mean of its divisors is an integer number (139706112).

Almost surely, 2^3426628896 is an apocalyptic number.

3426628896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3426628896 is an abundant number, since it is smaller than the sum of its proper divisors (6632211168).

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

3426628896 is a wasteful number, since it uses less digits than its factorization.

3426628896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383854 (or 383843 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3426628896 is about 58537.4144970548. The cubic root of 3426628896 is about 1507.6100514527.

The spelling of 3426628896 in words is "three billion, four hundred twenty-six million, six hundred twenty-eight thousand, eight hundred ninety-six".