3906624960 has 1008 divisors, whose sum is σ = 17345802240. Its totient is φ = 801239040.

The previous prime is 3906624899. The next prime is 3906624989. The reversal of 3906624960 is 694266093.

3906624960 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 tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83119657 + ... + 83119703.

Almost surely, 2^3906624960 is an apocalyptic number.

3906624960 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 3906624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672901120).

3906624960 is an abundant number, since it is smaller than the sum of its proper divisors (13439177280).

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

3906624960 is a wasteful number, since it uses less digits than its factorization.

3906624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3906624960 is about 62502.9996080188. Note that the first 3 decimals coincide. The cubic root of 3906624960 is about 1574.9517022227.

The spelling of 3906624960 in words is "three billion, nine hundred six million, six hundred twenty-four thousand, nine hundred sixty".