3505489920 has 384 divisors, whose sum is σ = 12894336000. Its totient is φ = 902430720.

The previous prime is 3505489901. The next prime is 3505489931. The reversal of 3505489920 is 299845053.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8570676 + ... + 8571084.

It is an arithmetic number, because the mean of its divisors is an integer number (33579000).

Almost surely, 2^3505489920 is an apocalyptic number.

3505489920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3505489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447168000).

3505489920 is an abundant number, since it is smaller than the sum of its proper divisors (9388846080).

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

3505489920 is a wasteful number, since it uses less digits than its factorization.

3505489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3505489920 is about 59207.1779432190. The cubic root of 3505489920 is about 1519.0879107895.

The spelling of 3505489920 in words is "three billion, five hundred five million, four hundred eighty-nine thousand, nine hundred twenty".