3945503520 has 864 divisors, whose sum is σ = 17254036800. Its totient is φ = 846526464.

The previous prime is 3945503503. The next prime is 3945503533. The reversal of 3945503520 is 253055493.

3945503520 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 (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36197226 + ... + 36197334.

It is an arithmetic number, because the mean of its divisors is an integer number (19969950).

Almost surely, 2^3945503520 is an apocalyptic number.

3945503520 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 3945503520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8627018400).

3945503520 is an abundant number, since it is smaller than the sum of its proper divisors (13308533280).

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

3945503520 is a wasteful number, since it uses less digits than its factorization.

3945503520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

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

The square root of 3945503520 is about 62813.2431896332. The cubic root of 3945503520 is about 1580.1590824173.

The spelling of 3945503520 in words is "three billion, nine hundred forty-five million, five hundred three thousand, five hundred twenty".