3833456445 has 72 divisors (see below), whose sum is σ = 8324139096. Its totient is φ = 1617622272.

The previous prime is 3833456423. The next prime is 3833456467. The reversal of 3833456445 is 5446543383.

3833456445 is a `hidden beast` number, since 3 + 83 + 3 + 4 + 564 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3833456423) and next prime (3833456467).

It can be written as a sum of positive squares in 4 ways, for example, as 55264356 + 3778192089 = 7434^2 + 61467^2 .

It is not a de Polignac number, because 3833456445 - 2⁵ = 3833456413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3833456445.

It is a congruent number.

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, 38202 + ... + 95531.

It is an arithmetic number, because the mean of its divisors is an integer number (115613043).

Almost surely, 2^3833456445 is an apocalyptic number.

3833456445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3833456445 is an abundant number, since it is smaller than the sum of its proper divisors (4490682651).

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

3833456445 is a wasteful number, since it uses less digits than its factorization.

3833456445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133771 (or 133761 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The square root of 3833456445 is about 61914.9129451056. The cubic root of 3833456445 is about 1565.0570663115.

The spelling of 3833456445 in words is "three billion, eight hundred thirty-three million, four hundred fifty-six thousand, four hundred forty-five".