3945545760 has 96 divisors (see below), whose sum is σ = 13384526400. Its totient is φ = 971209728.

The previous prime is 3945545731. The next prime is 3945545767. The reversal of 3945545760 is 675455493.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (3945545767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309910 + ... + 322389.

It is an arithmetic number, because the mean of its divisors is an integer number (139422150).

Almost surely, 2^3945545760 is an apocalyptic number.

3945545760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3945545760 is an abundant number, since it is smaller than the sum of its proper divisors (9438980640).

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

3945545760 is a wasteful number, since it uses less digits than its factorization.

3945545760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632330 (or 632322 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The square root of 3945545760 is about 62813.5794235610. The cubic root of 3945545760 is about 1580.1647213834.

The spelling of 3945545760 in words is "three billion, nine hundred forty-five million, five hundred forty-five thousand, seven hundred sixty".