3834487444480 has 528 divisors, whose sum is σ = 11590313132160. Its totient is φ = 1191500513280.

The previous prime is 3834487444477. The next prime is 3834487444583. The reversal of 3834487444480 is 844447844383.

It is a super-2 number, since 2×3834487444480² (a number of 26 digits) contains 22 as substring.

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, 1643585394 + ... + 1643587726.

Almost surely, 2^{3834487444480} 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 3834487444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795156566080).

3834487444480 is an abundant number, since it is smaller than the sum of its proper divisors (7755825687680).

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

3834487444480 is a wasteful number, since it uses less digits than its factorization.

3834487444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 132120576, while the sum is 61.

The spelling of 3834487444480 in words is "three trillion, eight hundred thirty-four billion, four hundred eighty-seven million, four hundred forty-four thousand, four hundred eighty".