3480867438048 has 2304 divisors, whose sum is σ = 14376122449920. Its totient is φ = 796675461120.

The previous prime is 3480867438043. The next prime is 3480867438077. The reversal of 3480867438048 is 8408347680843.

3480867438048 is a `hidden beast` number, since 3 + 4 + 80 + 86 + 7 + 438 + 0 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480867438043) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27408404961 + ... + 27408405087.

It is an arithmetic number, because the mean of its divisors is an integer number (6239636480).

Almost surely, 2^{3480867438048} 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 3480867438048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188061224960).

3480867438048 is an abundant number, since it is smaller than the sum of its proper divisors (10895255011872).

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

3480867438048 is a wasteful number, since it uses less digits than its factorization.

3480867438048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 3480867438048 in words is "three trillion, four hundred eighty billion, eight hundred sixty-seven million, four hundred thirty-eight thousand, forty-eight".