3649828896 has 504 divisors, whose sum is σ = 13062276864. Its totient is φ = 999371520.

The previous prime is 3649828877. The next prime is 3649828967. The reversal of 3649828896 is 6988289463.

3649828896 is a `hidden beast` number, since 36 + 498 + 28 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 35435181 + ... + 35435283.

It is an arithmetic number, because the mean of its divisors is an integer number (25917216).

Almost surely, 2^3649828896 is an apocalyptic number.

3649828896 is a gapful number since it is divisible by the number (36) 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 3649828896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531138432).

3649828896 is an abundant number, since it is smaller than the sum of its proper divisors (9412447968).

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

3649828896 is a wasteful number, since it uses less digits than its factorization.

3649828896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 146 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 3649828896 is about 60413.8137845973. The cubic root of 3649828896 is about 1539.6576649529.

The spelling of 3649828896 in words is "three billion, six hundred forty-nine million, eight hundred twenty-eight thousand, eight hundred ninety-six".