3811681152 has 160 divisors (see below), whose sum is σ = 11381051880. Its totient is φ = 1266361344.

The previous prime is 3811681103. The next prime is 3811681171. The reversal of 3811681152 is 2511861183.

3811681152 is a `hidden beast` number, since 381 + 168 + 115 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5836858 + ... + 5837510.

Almost surely, 2^3811681152 is an apocalyptic number.

3811681152 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 3811681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690525940).

3811681152 is an abundant number, since it is smaller than the sum of its proper divisors (7569370728).

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

3811681152 is an equidigital number, since it uses as much as digits as its factorization.

3811681152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1221 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 3811681152 is about 61738.8139827775. The cubic root of 3811681152 is about 1562.0880913746.

The spelling of 3811681152 in words is "three billion, eight hundred eleven million, six hundred eighty-one thousand, one hundred fifty-two".