3857494752 has 336 divisors, whose sum is σ = 12315294432. Its totient is φ = 1184440320.

The previous prime is 3857494747. The next prime is 3857494777. The reversal of 3857494752 is 2574947583.

It is a happy number.

3857494752 is a `hidden beast` number, since 3 + 85 + 7 + 494 + 75 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28156828 + ... + 28156964.

It is an arithmetic number, because the mean of its divisors is an integer number (36652662).

Almost surely, 2^3857494752 is an apocalyptic number.

3857494752 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 3857494752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157647216).

3857494752 is an abundant number, since it is smaller than the sum of its proper divisors (8457799680).

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

3857494752 is a wasteful number, since it uses less digits than its factorization.

3857494752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 3857494752 is about 62108.7332989492. The cubic root of 3857494752 is about 1568.3215665279.

The spelling of 3857494752 in words is "three billion, eight hundred fifty-seven million, four hundred ninety-four thousand, seven hundred fifty-two".