3189993891840 has 2880 divisors, whose sum is σ = 14885304033600. Its totient is φ = 650132324352.

The previous prime is 3189993891827. The next prime is 3189993891853. The reversal of 3189993891840 is 481983999813.

3189993891840 is a `hidden beast` number, since 3 + 1 + 89 + 99 + 389 + 1 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3189993891827) and next prime (3189993891853).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3189993891840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 167894415351 + ... + 167894415369.

It is an arithmetic number, because the mean of its divisors is an integer number (5168508345).

Almost surely, 2^{3189993891840} is an apocalyptic number.

3189993891840 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 3189993891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442652016800).

3189993891840 is an abundant number, since it is smaller than the sum of its proper divisors (11695310141760).

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

3189993891840 is an frugal number, since it uses more digits than its factorization.

3189993891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 3189993891840 in words is "three trillion, one hundred eighty-nine billion, nine hundred ninety-three million, eight hundred ninety-one thousand, eight hundred forty".