3391251978240 has 768 divisors, whose sum is σ = 13797883008000. Its totient is φ = 773967052800.

The previous prime is 3391251978221. The next prime is 3391251978269. The reversal of 3391251978240 is 428791521933.

3391251978240 is a `hidden beast` number, since 3 + 3 + 9 + 1 + 2 + 519 + 7 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2324366631 + ... + 2324368089.

It is an arithmetic number, because the mean of its divisors is an integer number (17965993500).

Almost surely, 2^{3391251978240} is an apocalyptic number.

3391251978240 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 3391251978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898941504000).

3391251978240 is an abundant number, since it is smaller than the sum of its proper divisors (10406631029760).

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

3391251978240 is a wasteful number, since it uses less digits than its factorization.

3391251978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3391251978240 in words is "three trillion, three hundred ninety-one billion, two hundred fifty-one million, nine hundred seventy-eight thousand, two hundred forty".