3835481664 has 336 divisors, whose sum is σ = 12740640000. Its totient is φ = 1011999744.

The previous prime is 3835481659. The next prime is 3835481677. The reversal of 3835481664 is 4661845383.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7686087 + ... + 7686585.

Almost surely, 2^3835481664 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 3835481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370320000).

3835481664 is an abundant number, since it is smaller than the sum of its proper divisors (8905158336).

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

3835481664 is a wasteful number, since it uses less digits than its factorization.

3835481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 3835481664 is about 61931.2656418388. The cubic root of 3835481664 is about 1565.3326248795.

The spelling of 3835481664 in words is "three billion, eight hundred thirty-five million, four hundred eighty-one thousand, six hundred sixty-four".