3786456960 has 384 divisors, whose sum is σ = 15364308960. Its totient is φ = 847134720.

The previous prime is 3786456959. The next prime is 3786456967. The reversal of 3786456960 is 696546873.

3786456960 is a `hidden beast` number, since 3 + 78 + 6 + 4 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3786456897 and 3786456906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786456967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821382 + ... + 825978.

Almost surely, 2^3786456960 is an apocalyptic number.

3786456960 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 3786456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682154480).

3786456960 is an abundant number, since it is smaller than the sum of its proper divisors (11577852000).

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

3786456960 is a wasteful number, since it uses less digits than its factorization.

3786456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3786456960 is about 61534.1934212191. The cubic root of 3786456960 is about 1558.6347028895.

The spelling of 3786456960 in words is "three billion, seven hundred eighty-six million, four hundred fifty-six thousand, nine hundred sixty".