31746997201920 has 2112 divisors, whose sum is σ = 139305809857536. Its totient is φ = 6065820794880.

The previous prime is 31746997201877. The next prime is 31746997201939. The reversal of 31746997201920 is 2910279964713.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42728125069 + ... + 42728125811.

Almost surely, 2^{31746997201920} is an apocalyptic number.

31746997201920 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 31746997201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69652904928768).

31746997201920 is an abundant number, since it is smaller than the sum of its proper divisors (107558812655616).

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

31746997201920 is a wasteful number, since it uses less digits than its factorization.

31746997201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 31746997201920 in words is "thirty-one trillion, seven hundred forty-six billion, nine hundred ninety-seven million, two hundred one thousand, nine hundred twenty".