382070640 has 240 divisors, whose sum is σ = 1406079648. Its totient is φ = 85542912.

The previous prime is 382070603. The next prime is 382070651. The reversal of 382070640 is 46070283.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 382070598 and 382070607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 622974 + ... + 623586.

Almost surely, 2^382070640 is an apocalyptic number.

382070640 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 382070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703039824).

382070640 is an abundant number, since it is smaller than the sum of its proper divisors (1024009008).

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

382070640 is a wasteful number, since it uses less digits than its factorization.

382070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 382070640 is about 19546.6273305652. The cubic root of 382070640 is about 725.6288732961.

The spelling of 382070640 in words is "three hundred eighty-two million, seventy thousand, six hundred forty".