3876470784 has 300 divisors, whose sum is σ = 12179887104. Its totient is φ = 1226244096.

The previous prime is 3876470737. The next prime is 3876470789. The reversal of 3876470784 is 4870746783.

3876470784 is a `hidden beast` number, since 38 + 76 + 470 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3876470784.

It is not an unprimeable number, because it can be changed into a prime (3876470789) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30523329 + ... + 30523455.

Almost surely, 2^3876470784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3876470784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089943552).

3876470784 is an abundant number, since it is smaller than the sum of its proper divisors (8303416320).

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

3876470784 is an equidigital number, since it uses as much as digits as its factorization.

3876470784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 3876470784 is about 62261.3104905446. The cubic root of 3876470784 is about 1570.8890233127.

The spelling of 3876470784 in words is "three billion, eight hundred seventy-six million, four hundred seventy thousand, seven hundred eighty-four".