31438764000 has 576 divisors, whose sum is σ = 129338052480. Its totient is φ = 7083417600.

The previous prime is 31438763999. The next prime is 31438764001. The reversal of 31438764000 is 46783413.

31438764000 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 8 + 7 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31438763999) and next prime (31438764001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31438764001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18395146 + ... + 18396854.

It is an arithmetic number, because the mean of its divisors is an integer number (224545230).

Almost surely, 2^31438764000 is an apocalyptic number.

31438764000 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 31438764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64669026240).

31438764000 is an abundant number, since it is smaller than the sum of its proper divisors (97899288480).

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

31438764000 is a wasteful number, since it uses less digits than its factorization.

31438764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 31438764000 in words is "thirty-one billion, four hundred thirty-eight million, seven hundred sixty-four thousand".