3521378784 has 384 divisors, whose sum is σ = 12089032704. Its totient is φ = 878169600.

The previous prime is 3521378761. The next prime is 3521378801. The reversal of 3521378784 is 4878731253.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 27727329 + ... + 27727455.

It is an arithmetic number, because the mean of its divisors is an integer number (31481856).

Almost surely, 2^3521378784 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 3521378784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044516352).

3521378784 is an abundant number, since it is smaller than the sum of its proper divisors (8567653920).

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

3521378784 is a wasteful number, since it uses less digits than its factorization.

3521378784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 3521378784 is about 59341.2064589186. The cubic root of 3521378784 is about 1521.3795739081.

The spelling of 3521378784 in words is "three billion, five hundred twenty-one million, three hundred seventy-eight thousand, seven hundred eighty-four".