3814071552 has 216 divisors, whose sum is σ = 11672548160. Its totient is φ = 1194393600.

The previous prime is 3814071539. The next prime is 3814071557. The reversal of 3814071552 is 2551704183.

3814071552 is a `hidden beast` number, since 38 + 1 + 4 + 0 + 71 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3814071557) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6609888 + ... + 6610464.

Almost surely, 2^3814071552 is an apocalyptic number.

3814071552 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 3814071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836274080).

3814071552 is an abundant number, since it is smaller than the sum of its proper divisors (7858476608).

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

3814071552 is a wasteful number, since it uses less digits than its factorization.

3814071552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 3814071552 is about 61758.1699210720. The cubic root of 3814071552 is about 1562.4145645617.

The spelling of 3814071552 in words is "three billion, eight hundred fourteen million, seventy-one thousand, five hundred fifty-two".