3812476320 has 288 divisors, whose sum is σ = 13896634752. Its totient is φ = 949487616.

The previous prime is 3812476313. The next prime is 3812476361. The reversal of 3812476320 is 236742183.

It is a happy number.

3812476320 is a `hidden beast` number, since 3 + 8 + 12 + 4 + 7 + 632 + 0 = 666.

3812476320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1422822 + ... + 1425498.

It is an arithmetic number, because the mean of its divisors is an integer number (48252204).

Almost surely, 2^3812476320 is an apocalyptic number.

3812476320 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 3812476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948317376).

3812476320 is an abundant number, since it is smaller than the sum of its proper divisors (10084158432).

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

3812476320 is a wasteful number, since it uses less digits than its factorization.

3812476320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2753 counting only the distinct ones).

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

The square root of 3812476320 is about 61745.2534208096. The cubic root of 3812476320 is about 1562.1967080234.

The spelling of 3812476320 in words is "three billion, eight hundred twelve million, four hundred seventy-six thousand, three hundred twenty".