3814632720 has 120 divisors (see below), whose sum is σ = 13564428696. Its totient is φ = 957394944.

The previous prime is 3814632713. The next prime is 3814632721. The reversal of 3814632720 is 272364183.

It is a happy number.

3814632720 is a `hidden beast` number, since 3 + 8 + 14 + 632 + 7 + 2 + 0 = 666.

3814632720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2083739904 + 1730892816 = 45648^2 + 41604^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3814632721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143587 + ... + 168066.

Almost surely, 2^3814632720 is an apocalyptic number.

3814632720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3814632720 is an abundant number, since it is smaller than the sum of its proper divisors (9749795976).

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

3814632720 is a wasteful number, since it uses less digits than its factorization.

3814632720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311689 (or 311680 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3814632720 is about 61762.7130233121. The cubic root of 3814632720 is about 1562.4911873210.

The spelling of 3814632720 in words is "three billion, eight hundred fourteen million, six hundred thirty-two thousand, seven hundred twenty".