3198439923840 has 960 divisors, whose sum is σ = 13986586310400. Its totient is φ = 692584058880.

The previous prime is 3198439923839. The next prime is 3198439923883. The reversal of 3198439923840 is 483299348913.

3198439923840 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 4 + 399 + 238 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48229905 + ... + 48296175.

It is an arithmetic number, because the mean of its divisors is an integer number (14569360740).

Almost surely, 2^{3198439923840} is an apocalyptic number.

3198439923840 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 3198439923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993293155200).

3198439923840 is an abundant number, since it is smaller than the sum of its proper divisors (10788146386560).

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

3198439923840 is a wasteful number, since it uses less digits than its factorization.

3198439923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66335 (or 66307 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 3198439923840 in words is "three trillion, one hundred ninety-eight billion, four hundred thirty-nine million, nine hundred twenty-three thousand, eight hundred forty".