3860762400 has 288 divisors, whose sum is σ = 15233400000. Its totient is φ = 935884800.

The previous prime is 3860762387. The next prime is 3860762449. The reversal of 3860762400 is 42670683.

3860762400 is a `hidden beast` number, since 3 + 8 + 607 + 6 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 229476 + ... + 245724.

It is an arithmetic number, because the mean of its divisors is an integer number (52893750).

Almost surely, 2^3860762400 is an apocalyptic number.

3860762400 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 3860762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616700000).

3860762400 is an abundant number, since it is smaller than the sum of its proper divisors (11372637600).

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

3860762400 is a wasteful number, since it uses less digits than its factorization.

3860762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16289 (or 16270 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3860762400 is about 62135.0335961927. The cubic root of 3860762400 is about 1568.7642784265.

The spelling of 3860762400 in words is "three billion, eight hundred sixty million, seven hundred sixty-two thousand, four hundred".