3786855120 has 240 divisors, whose sum is σ = 13124284992. Its totient is φ = 977909760.

The previous prime is 3786855109. The next prime is 3786855143. The reversal of 3786855120 is 215586873.

3786855120 is a `hidden beast` number, since 3 + 78 + 6 + 8 + 551 + 20 = 666.

3786855120 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 (240).

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 47 ways as a sum of consecutive naturals, for example, 4811367 + ... + 4812153.

Almost surely, 2^3786855120 is an apocalyptic number.

3786855120 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 3786855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562142496).

3786855120 is an abundant number, since it is smaller than the sum of its proper divisors (9337429872).

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

3786855120 is a wasteful number, since it uses less digits than its factorization.

3786855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 3786855120 is about 61537.4286105619. The cubic root of 3786855120 is about 1558.6893330489.

The spelling of 3786855120 in words is "three billion, seven hundred eighty-six million, eight hundred fifty-five thousand, one hundred twenty".