3505453920 has 288 divisors, whose sum is σ = 12724350912. Its totient is φ = 876834816.

The previous prime is 3505453891. The next prime is 3505453921. The reversal of 3505453920 is 293545053.

3505453920 is a `hidden beast` number, since 3 + 50 + 54 + 539 + 20 = 666.

3505453920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505453921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754362 + ... + 1756358.

It is an arithmetic number, because the mean of its divisors is an integer number (44181774).

Almost surely, 2^3505453920 is an apocalyptic number.

3505453920 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 3505453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362175456).

3505453920 is an abundant number, since it is smaller than the sum of its proper divisors (9218896992).

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

3505453920 is a wasteful number, since it uses less digits than its factorization.

3505453920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 3505453920 is about 59206.8739252462. The cubic root of 3505453920 is about 1519.0827106270.

Adding to 3505453920 its reverse (293545053), we get a palindrome (3798998973).

The spelling of 3505453920 in words is "three billion, five hundred five million, four hundred fifty-three thousand, nine hundred twenty".