3464642628 has 216 divisors, whose sum is σ = 9845454528. Its totient is φ = 1024949376.

The previous prime is 3464642579. The next prime is 3464642669. The reversal of 3464642628 is 8262464643.

3464642628 is a `hidden beast` number, since 346 + 46 + 4 + 262 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20026750 + ... + 20026922.

It is an arithmetic number, because the mean of its divisors is an integer number (45580808).

Almost surely, 2^3464642628 is an apocalyptic number.

3464642628 is a gapful number since it is divisible by the number (38) 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 3464642628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922727264).

3464642628 is an abundant number, since it is smaller than the sum of its proper divisors (6380811900).

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

3464642628 is a wasteful number, since it uses less digits than its factorization.

3464642628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 3464642628 is about 58861.2149721699. The cubic root of 3464642628 is about 1513.1645150339.

The spelling of 3464642628 in words is "three billion, four hundred sixty-four million, six hundred forty-two thousand, six hundred twenty-eight".