3505376784 has 320 divisors, whose sum is σ = 11519262720. Its totient is φ = 894136320.

The previous prime is 3505376767. The next prime is 3505376803. The reversal of 3505376784 is 4876735053.

3505376784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 27601329 + ... + 27601455.

It is an arithmetic number, because the mean of its divisors is an integer number (35997696).

Almost surely, 2^3505376784 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 3505376784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759631360).

3505376784 is an abundant number, since it is smaller than the sum of its proper divisors (8013885936).

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

3505376784 is a wasteful number, since it uses less digits than its factorization.

3505376784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 3505376784 is about 59206.2225108138. Note that the first 3 decimals coincide. The cubic root of 3505376784 is about 1519.0715682922.

The spelling of 3505376784 in words is "three billion, five hundred five million, three hundred seventy-six thousand, seven hundred eighty-four".