3505920000 has 480 divisors, whose sum is σ = 12895122240. Its totient is φ = 839680000.

The previous prime is 3505919999. The next prime is 3505920037. The reversal of 3505920000 is 295053.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42239959 + ... + 42240041.

It is an arithmetic number, because the mean of its divisors is an integer number (26864838).

Almost surely, 2^3505920000 is an apocalyptic number.

3505920000 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 3505920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447561120).

3505920000 is an abundant number, since it is smaller than the sum of its proper divisors (9389202240).

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

3505920000 is an equidigital number, since it uses as much as digits as its factorization.

3505920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 3505920000 is about 59210.8098238827. The cubic root of 3505920000 is about 1519.1500326447.

The spelling of 3505920000 in words is "three billion, five hundred five million, nine hundred twenty thousand".