3965054976 has 520 divisors, whose sum is σ = 13558398480. Its totient is φ = 1146617856.

The previous prime is 3965054971. The next prime is 3965055037. The reversal of 3965054976 is 6794505693.

3965054976 is a `hidden beast` number, since 3 + 96 + 5 + 0 + 549 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965054971) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 107163630 + ... + 107163666.

Almost surely, 2^3965054976 is an apocalyptic number.

3965054976 is a gapful number since it is divisible by the number (36) 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 3965054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779199240).

3965054976 is an abundant number, since it is smaller than the sum of its proper divisors (9593343504).

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

3965054976 is a wasteful number, since it uses less digits than its factorization.

3965054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 3965054976 is about 62968.6825017008. The cubic root of 3965054976 is about 1582.7648773849.

The spelling of 3965054976 in words is "three billion, nine hundred sixty-five million, fifty-four thousand, nine hundred seventy-six".