3809835456 has 448 divisors, whose sum is σ = 12904012800. Its totient is φ = 987463680.

The previous prime is 3809835451. The next prime is 3809835457. The reversal of 3809835456 is 6545389083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×3809835456³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3809835399 and 3809835408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3809835451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45901591 + ... + 45901673.

It is an arithmetic number, because the mean of its divisors is an integer number (28803600).

Almost surely, 2^3809835456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3809835456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452006400).

3809835456 is an abundant number, since it is smaller than the sum of its proper divisors (9094177344).

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

3809835456 is a wasteful number, since it uses less digits than its factorization.

3809835456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The square root of 3809835456 is about 61723.8645582080. The cubic root of 3809835456 is about 1561.8359187233.

The spelling of 3809835456 in words is "three billion, eight hundred nine million, eight hundred thirty-five thousand, four hundred fifty-six".