3953083680 has 576 divisors, whose sum is σ = 16828051968. Its totient is φ = 822804480.

The previous prime is 3953083679. The next prime is 3953083709. The reversal of 3953083680 is 863803593.

3953083680 is a `hidden beast` number, since 3 + 9 + 530 + 8 + 36 + 80 = 666.

3953083680 is digitally balanced in base 2 and base 4, because in such bases 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12710725 + ... + 12711035.

It is an arithmetic number, because the mean of its divisors is an integer number (29215368).

Almost surely, 2^3953083680 is an apocalyptic number.

3953083680 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 3953083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414025984).

3953083680 is an abundant number, since it is smaller than the sum of its proper divisors (12874968288).

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

3953083680 is a wasteful number, since it uses less digits than its factorization.

3953083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3953083680 is about 62873.5531046242. The cubic root of 3953083680 is about 1581.1703767600.

The spelling of 3953083680 in words is "three billion, nine hundred fifty-three million, eighty-three thousand, six hundred eighty".