386069040 has 360 divisors, whose sum is σ = 1561292928. Its totient is φ = 85155840.

The previous prime is 386069023. The next prime is 386069059. The reversal of 386069040 is 40960683.

386069040 is a `hidden beast` number, since 3 + 8 + 606 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 386068986 and 386069004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1093504 + ... + 1093856.

Almost surely, 2^386069040 is an apocalyptic number.

386069040 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 386069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780646464).

386069040 is an abundant number, since it is smaller than the sum of its proper divisors (1175223888).

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

386069040 is a wasteful number, since it uses less digits than its factorization.

386069040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 386069040 is about 19648.6396475685. The cubic root of 386069040 is about 728.1513492033.

It can be divided in two parts, 3860 and 69040, that added together give a square (72900 = 270²).

The spelling of 386069040 in words is "three hundred eighty-six million, sixty-nine thousand, forty".