3955720320 has 512 divisors, whose sum is σ = 15069888000. Its totient is φ = 978075648.

The previous prime is 3955720319. The next prime is 3955720337. The reversal of 3955720320 is 230275593.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14705146 + ... + 14705414.

It is an arithmetic number, because the mean of its divisors is an integer number (29433375).

Almost surely, 2^3955720320 is an apocalyptic number.

3955720320 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 3955720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534944000).

3955720320 is an abundant number, since it is smaller than the sum of its proper divisors (11114167680).

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

3955720320 is a wasteful number, since it uses less digits than its factorization.

3955720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 3955720320 is about 62894.5174081175. The cubic root of 3955720320 is about 1581.5218366045.

The spelling of 3955720320 in words is "three billion, nine hundred fifty-five million, seven hundred twenty thousand, three hundred twenty".