31384039680 has 720 divisors, whose sum is σ = 130135953024. Its totient is φ = 7073464320.

The previous prime is 31384039657. The next prime is 31384039681. The reversal of 31384039680 is 8693048313.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31384039681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60237820 + ... + 60238340.

Almost surely, 2^31384039680 is an apocalyptic number.

31384039680 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 31384039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65067976512).

31384039680 is an abundant number, since it is smaller than the sum of its proper divisors (98751913344).

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

31384039680 is an equidigital number, since it uses as much as digits as its factorization.

31384039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 31384039680 in words is "thirty-one billion, three hundred eighty-four million, thirty-nine thousand, six hundred eighty".