31277399328 has 432 divisors, whose sum is σ = 109753600320. Its totient is φ = 8400817152.

The previous prime is 31277399327. The next prime is 31277399333. The reversal of 31277399328 is 82399377213.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31277399327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42095725 + ... + 42096467.

It is an arithmetic number, because the mean of its divisors is an integer number (254059260).

Almost surely, 2^31277399328 is an apocalyptic number.

31277399328 is a gapful number since it is divisible by the number (38) 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 31277399328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54876800160).

31277399328 is an abundant number, since it is smaller than the sum of its proper divisors (78476200992).

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

31277399328 is a wasteful number, since it uses less digits than its factorization.

31277399328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 931 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 31277399328 in words is "thirty-one billion, two hundred seventy-seven million, three hundred ninety-nine thousand, three hundred twenty-eight".