3391982412480 has 672 divisors, whose sum is σ = 12355246612800. Its totient is φ = 886676004864.

The previous prime is 3391982412437. The next prime is 3391982412499. The reversal of 3391982412480 is 842142891933.

3391982412480 is a `hidden beast` number, since 3 + 39 + 1 + 98 + 2 + 41 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3004412556 + ... + 3004413684.

It is an arithmetic number, because the mean of its divisors is an integer number (18385783650).

Almost surely, 2^{3391982412480} is an apocalyptic number.

3391982412480 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 3391982412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177623306400).

3391982412480 is an abundant number, since it is smaller than the sum of its proper divisors (8963264200320).

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

3391982412480 is an frugal number, since it uses more digits than its factorization.

3391982412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3391982412480 in words is "three trillion, three hundred ninety-one billion, nine hundred eighty-two million, four hundred twelve thousand, four hundred eighty".