371820768 has 96 divisors (see below), whose sum is σ = 1078479360. Its totient is φ = 111221760.

The previous prime is 371820763. The next prime is 371820781. The reversal of 371820768 is 867028173.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×371820768² = 276501367032219648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (371820763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81196 + ... + 85652.

It is an arithmetic number, because the mean of its divisors is an integer number (11234160).

Almost surely, 2^371820768 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 371820768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539239680).

371820768 is an abundant number, since it is smaller than the sum of its proper divisors (706658592).

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

371820768 is a wasteful number, since it uses less digits than its factorization.

371820768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 371820768 is about 19282.6545890342. The cubic root of 371820768 is about 719.0811117333.

The spelling of 371820768 in words is "three hundred seventy-one million, eight hundred twenty thousand, seven hundred sixty-eight".