371424640 has 128 divisors (see below), whose sum is σ = 930827520. Its totient is φ = 141557760.

The previous prime is 371424637. The next prime is 371424649. The reversal of 371424640 is 46424173.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (371424649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1924384 + ... + 1924576.

It is an arithmetic number, because the mean of its divisors is an integer number (7272090).

Almost surely, 2^371424640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 371424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465413760).

371424640 is an abundant number, since it is smaller than the sum of its proper divisors (559402880).

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

371424640 is a wasteful number, since it uses less digits than its factorization.

371424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 371424640 is about 19272.3802370128. The cubic root of 371424640 is about 718.8256576690.

The spelling of 371424640 in words is "three hundred seventy-one million, four hundred twenty-four thousand, six hundred forty".