3786424320 has 480 divisors, whose sum is σ = 14495072256. Its totient is φ = 825753600.

The previous prime is 3786424319. The next prime is 3786424349. The reversal of 3786424320 is 234246873.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53329885 + ... + 53329955.

Almost surely, 2^3786424320 is an apocalyptic number.

3786424320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3786424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247536128).

3786424320 is an abundant number, since it is smaller than the sum of its proper divisors (10708647936).

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

3786424320 is an equidigital number, since it uses as much as digits as its factorization.

3786424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 3786424320 is about 61533.9282022528. The cubic root of 3786424320 is about 1558.6302242979.

The spelling of 3786424320 in words is "three billion, seven hundred eighty-six million, four hundred twenty-four thousand, three hundred twenty".