3442148849664 has 768 divisors, whose sum is σ = 12091721241600. Its totient is φ = 947106349056.

The previous prime is 3442148849647. The next prime is 3442148849701. The reversal of 3442148849664 is 4669488412443.

3442148849664 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 1 + 4 + 88 + 496 + 64 = 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 (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215017592 + ... + 1215020424.

It is an arithmetic number, because the mean of its divisors is an integer number (15744428700).

Almost surely, 2^{3442148849664} 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 3442148849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045860620800).

3442148849664 is an abundant number, since it is smaller than the sum of its proper divisors (8649572391936).

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

3442148849664 is a wasteful number, since it uses less digits than its factorization.

3442148849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2961 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 3442148849664 in words is "three trillion, four hundred forty-two billion, one hundred forty-eight million, eight hundred forty-nine thousand, six hundred sixty-four".