386755871040 has 3360 divisors, whose sum is σ = 1937392680960. Its totient is φ = 72111513600.

The previous prime is 386755871027. The next prime is 386755871083. The reversal of 386755871040 is 40178557683.

It is a happy number.

386755871040 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 5 + 587 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×386755871040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8228848297 + ... + 8228848343.

Almost surely, 2^386755871040 is an apocalyptic number.

386755871040 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 386755871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968696340480).

386755871040 is an abundant number, since it is smaller than the sum of its proper divisors (1550636809920).

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

386755871040 is a wasteful number, since it uses less digits than its factorization.

386755871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 386755871040 in words is "three hundred eighty-six billion, seven hundred fifty-five million, eight hundred seventy-one thousand, forty".