3874563072 has 264 divisors, whose sum is σ = 12124397376. Its totient is φ = 1233543168.

The previous prime is 3874563059. The next prime is 3874563073. The reversal of 3874563072 is 2703654783.

3874563072 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 5 + 630 + 7 + 2 = 666.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (3874563073) 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, 5722798 + ... + 5723474.

Almost surely, 2^3874563072 is an apocalyptic number.

3874563072 is a gapful number since it is divisible by the number (32) 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 3874563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062198688).

3874563072 is an abundant number, since it is smaller than the sum of its proper divisors (8249834304).

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

3874563072 is an equidigital number, since it uses as much as digits as its factorization.

3874563072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3874563072 is about 62245.9884008600. The cubic root of 3874563072 is about 1570.6312892599.

The spelling of 3874563072 in words is "three billion, eight hundred seventy-four million, five hundred sixty-three thousand, seventy-two".