3813977472 has 64 divisors (see below), whose sum is σ = 10726830000. Its totient is φ = 1196539904.

The previous prime is 3813977429. The next prime is 3813977473. The reversal of 3813977472 is 2747793183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813977473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285597 + ... + 298652.

Almost surely, 2^3813977472 is an apocalyptic number.

3813977472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3813977472 is an abundant number, since it is smaller than the sum of its proper divisors (6912852528).

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

3813977472 is a wasteful number, since it uses less digits than its factorization.

3813977472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584283 (or 584271 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The square root of 3813977472 is about 61757.4082357736. The cubic root of 3813977472 is about 1562.4017179952.

The spelling of 3813977472 in words is "three billion, eight hundred thirteen million, nine hundred seventy-seven thousand, four hundred seventy-two".