3484904994144 has 288 divisors, whose sum is σ = 11628147585600. Its totient is φ = 969228288000.

The previous prime is 3484904994017. The next prime is 3484904994167. The reversal of 3484904994144 is 4414994094843.

3484904994144 is a `hidden beast` number, since 3 + 4 + 8 + 490 + 49 + 94 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37065594 + ... + 37159494.

It is an arithmetic number, because the mean of its divisors is an integer number (40375512450).

Almost surely, 2^{3484904994144} 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 3484904994144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814073792800).

3484904994144 is an abundant number, since it is smaller than the sum of its proper divisors (8143242591456).

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

3484904994144 is a wasteful number, since it uses less digits than its factorization.

3484904994144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94414 (or 94403 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3484904994144 in words is "three trillion, four hundred eighty-four billion, nine hundred four million, nine hundred ninety-four thousand, one hundred forty-four".