31797347400 has 1152 divisors, whose sum is σ = 146728108800. Its totient is φ = 5971968000.

The previous prime is 31797347389. The next prime is 31797347401. The reversal of 31797347400 is 474379713.

31797347400 is a `hidden beast` number, since 3 + 179 + 7 + 3 + 474 + 0 + 0 = 666.

It is a super-2 number, since 2×31797347400² (a number of 22 digits) contains 22 as substring.

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 (31797347401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52907100 + ... + 52907700.

It is an arithmetic number, because the mean of its divisors is an integer number (127368150).

Almost surely, 2^31797347400 is an apocalyptic number.

31797347400 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 31797347400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73364054400).

31797347400 is an abundant number, since it is smaller than the sum of its proper divisors (114930761400).

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

31797347400 is a wasteful number, since it uses less digits than its factorization.

31797347400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 31797347400 in words is "thirty-one billion, seven hundred ninety-seven million, three hundred forty-seven thousand, four hundred".