3827765624 has 16 divisors (see below), whose sum is σ = 7177770600. Its totient is φ = 1913693472.

The previous prime is 3827765621. The next prime is 3827765633. The reversal of 3827765624 is 4265677283.

It is a super-2 number, since 2×3827765624² = 29303579344552218752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827765621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100679 + ... + 133385.

Almost surely, 2^3827765624 is an apocalyptic number.

It is an amenable number.

3827765624 is a deficient number, since it is larger than the sum of its proper divisors (3350004976).

3827765624 is a wasteful number, since it uses less digits than its factorization.

3827765624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47342 (or 47338 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 50.

The square root of 3827765624 is about 61868.9390890130. The cubic root of 3827765624 is about 1564.2822328906.

The spelling of 3827765624 in words is "three billion, eight hundred twenty-seven million, seven hundred sixty-five thousand, six hundred twenty-four".