3835649480 has 128 divisors (see below), whose sum is σ = 9883490400. Its totient is φ = 1327153152.

The previous prime is 3835649473. The next prime is 3835649483. The reversal of 3835649480 is 849465383.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 21104836 + 3814544644 = 4594^2 + 61762^2 .

It is not an unprimeable number, because it can be changed into a prime (3835649483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2377154 + ... + 2378766.

Almost surely, 2^3835649480 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 3835649480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941745200).

3835649480 is an abundant number, since it is smaller than the sum of its proper divisors (6047840920).

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

3835649480 is a wasteful number, since it uses less digits than its factorization.

3835649480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The square root of 3835649480 is about 61932.6204838775. The cubic root of 3835649480 is about 1565.3554541747.

The spelling of 3835649480 in words is "three billion, eight hundred thirty-five million, six hundred forty-nine thousand, four hundred eighty".