31379019840 has 1344 divisors, whose sum is σ = 140100710400. Its totient is φ = 6570160128.

The previous prime is 31379019817. The next prime is 31379019871. The reversal of 31379019840 is 4891097313.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×31379019840² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 378060439 + ... + 378060521.

It is an arithmetic number, because the mean of its divisors is an integer number (104241600).

Almost surely, 2^31379019840 is an apocalyptic number.

31379019840 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 31379019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70050355200).

31379019840 is an abundant number, since it is smaller than the sum of its proper divisors (108721690560).

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

31379019840 is a wasteful number, since it uses less digits than its factorization.

31379019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 31379019840 in words is "thirty-one billion, three hundred seventy-nine million, nineteen thousand, eight hundred forty".