311964672 has 88 divisors (see below), whose sum is σ = 837730656. Its totient is φ = 103211008.

The previous prime is 311964647. The next prime is 311964677. The reversal of 311964672 is 276469113.

It is a self number, because there is not a number n which added to its sum of digits gives 311964672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311964677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531163 + ... + 531749.

Almost surely, 2^311964672 is an apocalyptic number.

311964672 is a gapful number since it is divisible by the number (32) 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 311964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418865328).

311964672 is an abundant number, since it is smaller than the sum of its proper divisors (525765984).

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

311964672 is a wasteful number, since it uses less digits than its factorization.

311964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 765 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 311964672 is about 17662.5216772691. The cubic root of 311964672 is about 678.2166883379.

The spelling of 311964672 in words is "three hundred eleven million, nine hundred sixty-four thousand, six hundred seventy-two".