3953800080 has 320 divisors, whose sum is σ = 13965177600. Its totient is φ = 1027952640.

The previous prime is 3953800069. The next prime is 3953800093. The reversal of 3953800080 is 800083593.

3953800080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25183362 + ... + 25183518.

It is an arithmetic number, because the mean of its divisors is an integer number (43641180).

Almost surely, 2^3953800080 is an apocalyptic number.

3953800080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3953800080 is the 31440-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3953800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982588800).

3953800080 is an abundant number, since it is smaller than the sum of its proper divisors (10011377520).

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

3953800080 is a wasteful number, since it uses less digits than its factorization.

3953800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3953800080 is about 62879.2499955271. The cubic root of 3953800080 is about 1581.2658871791.

The spelling of 3953800080 in words is "three billion, nine hundred fifty-three million, eight hundred thousand, eighty".