3955218960 has 240 divisors, whose sum is σ = 15403264128. Its totient is φ = 821821440.

The previous prime is 3955218959. The next prime is 3955218983. The reversal of 3955218960 is 698125593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193552 + ... + 213008.

Almost surely, 2^3955218960 is an apocalyptic number.

3955218960 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 3955218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701632064).

3955218960 is an abundant number, since it is smaller than the sum of its proper divisors (11448045168).

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

3955218960 is a wasteful number, since it uses less digits than its factorization.

3955218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19502 (or 19485 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 3955218960 is about 62890.5315608002. The cubic root of 3955218960 is about 1581.4550181556.

The spelling of 3955218960 in words is "three billion, nine hundred fifty-five million, two hundred eighteen thousand, nine hundred sixty".