3856377600 has 540 divisors, whose sum is σ = 14674722216. Its totient is φ = 998645760.

The previous prime is 3856377559. The next prime is 3856377659. The reversal of 3856377600 is 67736583.

3856377600 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 37 + 7 + 600 = 666.

3856377600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22291114 + ... + 22291286.

Almost surely, 2^3856377600 is an apocalyptic number.

3856377600 is a gapful number since it is divisible by the number (30) 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 3856377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337361108).

3856377600 is an abundant number, since it is smaller than the sum of its proper divisors (10818344616).

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

3856377600 is a wasteful number, since it uses less digits than its factorization.

3856377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3856377600 is about 62099.7391298869. The cubic root of 3856377600 is about 1568.1701536854.

The spelling of 3856377600 in words is "three billion, eight hundred fifty-six million, three hundred seventy-seven thousand, six hundred".