386161776 has 640 divisors, whose sum is σ = 1599897600. Its totient is φ = 85847040.

The previous prime is 386161759. The next prime is 386161799. The reversal of 386161776 is 677161683.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8216185 + ... + 8216231.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^386161776 is an apocalyptic number.

386161776 is a gapful number since it is divisible by the number (36) 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 386161776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

386161776 is an abundant number, since it is smaller than the sum of its proper divisors (1213735824).

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

386161776 is a wasteful number, since it uses less digits than its factorization.

386161776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 386161776 is about 19650.9993639000. Note that the first 3 decimals coincide. The cubic root of 386161776 is about 728.2096465807.

It can be divided in two parts, 3861 and 61776, that multiplied together give a square (238517136 = 15444²).

The spelling of 386161776 in words is "three hundred eighty-six million, one hundred sixty-one thousand, seven hundred seventy-six".