3906984375 has 196 divisors, whose sum is σ = 8538953200. Its totient is φ = 1786050000.

The previous prime is 3906984373. The next prime is 3906984409. The reversal of 3906984375 is 5734896093.

The cubic root of 3906984375 is 1575.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 3906984375 - 2¹ = 3906984373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906984373) by changing a digit.

It is a polite number, since it can be written in 195 ways as a sum of consecutive naturals, for example, 558140622 + ... + 558140628.

Almost surely, 2^3906984375 is an apocalyptic number.

3906984375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3906984375 is an abundant number, since it is smaller than the sum of its proper divisors (4631968825).

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

3906984375 is an frugal number, since it uses more digits than its factorization.

3906984375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3906984375 is about 62505.8747239010.

The spelling of 3906984375 in words is "three billion, nine hundred six million, nine hundred eighty-four thousand, three hundred seventy-five".