3420837149184 has 960 divisors, whose sum is σ = 12965046969600. Its totient is φ = 870967738368.

The previous prime is 3420837149183. The next prime is 3420837149227. The reversal of 3420837149184 is 4819417380243.

3420837149184 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 8 + 3 + 71 + 491 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3420837149184.

It is not an unprimeable number, because it can be changed into a prime (3420837149183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474256362 + ... + 474263574.

It is an arithmetic number, because the mean of its divisors is an integer number (13505257260).

Almost surely, 2^{3420837149184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420837149184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482523484800).

3420837149184 is an abundant number, since it is smaller than the sum of its proper divisors (9544209820416).

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

3420837149184 is a wasteful number, since it uses less digits than its factorization.

3420837149184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7302 (or 7267 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3420837149184 in words is "three trillion, four hundred twenty billion, eight hundred thirty-seven million, one hundred forty-nine thousand, one hundred eighty-four".