31867377696 has 672 divisors, whose sum is σ = 119067677568. Its totient is φ = 8151736320.

The previous prime is 31867377683. The next prime is 31867377713. The reversal of 31867377696 is 69677376813.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×31867377696² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 202976850 + ... + 202977006.

It is an arithmetic number, because the mean of its divisors is an integer number (177184044).

Almost surely, 2^31867377696 is an apocalyptic number.

31867377696 is a gapful number since it is divisible by the number (36) 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 31867377696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59533838784).

31867377696 is an abundant number, since it is smaller than the sum of its proper divisors (87200299872).

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

31867377696 is a wasteful number, since it uses less digits than its factorization.

31867377696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The spelling of 31867377696 in words is "thirty-one billion, eight hundred sixty-seven million, three hundred seventy-seven thousand, six hundred ninety-six".