3876542064 has 280 divisors, whose sum is σ = 11866097664. Its totient is φ = 1224720000.

The previous prime is 3876542057. The next prime is 3876542081. The reversal of 3876542064 is 4602456783.

3876542064 is a `hidden beast` number, since 38 + 76 + 542 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×3876542064² = 30055156747922760192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 25672389 + ... + 25672539.

Almost surely, 2^3876542064 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 3876542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933048832).

3876542064 is an abundant number, since it is smaller than the sum of its proper divisors (7989555600).

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

3876542064 is a wasteful number, since it uses less digits than its factorization.

3876542064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3876542064 is about 62261.8829140269. The cubic root of 3876542064 is about 1570.8986516825.

The spelling of 3876542064 in words is "three billion, eight hundred seventy-six million, five hundred forty-two thousand, sixty-four".