311377640 has 128 divisors (see below), whose sum is σ = 855705600. Its totient is φ = 99671040.

The previous prime is 311377637. The next prime is 311377691. The reversal of 311377640 is 46773113.

It is a junction number, because it is equal to n+sod(n) for n = 311377597 and 311377606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251102 + ... + 252338.

It is an arithmetic number, because the mean of its divisors is an integer number (6685200).

Almost surely, 2^311377640 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 311377640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427852800).

311377640 is an abundant number, since it is smaller than the sum of its proper divisors (544327960).

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

311377640 is a wasteful number, since it uses less digits than its factorization.

311377640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 311377640 is about 17645.8958401097. The cubic root of 311377640 is about 677.7910152590.

The spelling of 311377640 in words is "three hundred eleven million, three hundred seventy-seven thousand, six hundred forty".