31377984 has 112 divisors (see below), whose sum is σ = 92171520. Its totient is φ = 9341440.

The previous prime is 31377977. The next prime is 31377991. The reversal of 31377984 is 48977313.

It is an interprime number because it is at equal distance from previous prime (31377977) and next prime (31377991).

Its product of digits (127008) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175207 + ... + 175385.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 2^31377984 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 31377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

31377984 is an abundant number, since it is smaller than the sum of its proper divisors (60793536).

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

31377984 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (31377983) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (278).

31377984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 31377984 is about 5601.6054841447. The cubic root of 31377984 is about 315.4096760818.

It can be divided in two parts, 31 and 377984, that added together give a triangular number (378015 = T₈₆₉).

The spelling of 31377984 in words is "thirty-one million, three hundred seventy-seven thousand, nine hundred eighty-four".