3955422240 has 1152 divisors, whose sum is σ = 18533007360. Its totient is φ = 769443840.

The previous prime is 3955422173. The next prime is 3955422257. The reversal of 3955422240 is 422245593.

3955422240 is a `hidden beast` number, since 3 + 95 + 542 + 2 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3955422195 and 3955422204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84157897 + ... + 84157943.

It is an arithmetic number, because the mean of its divisors is an integer number (16087680).

Almost surely, 2^3955422240 is an apocalyptic number.

3955422240 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 3955422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266503680).

3955422240 is an abundant number, since it is smaller than the sum of its proper divisors (14577585120).

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

3955422240 is a wasteful number, since it uses less digits than its factorization.

3955422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3955422240 is about 62892.1476815667. The cubic root of 3955422240 is about 1581.4821108544.

The spelling of 3955422240 in words is "three billion, nine hundred fifty-five million, four hundred twenty-two thousand, two hundred forty".