3934956480 has 448 divisors, whose sum is σ = 15883542528. Its totient is φ = 802897920.

The previous prime is 3934956457. The next prime is 3934956499. The reversal of 3934956480 is 846594393.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 2707434 + ... + 2708886.

It is an arithmetic number, because the mean of its divisors is an integer number (35454336).

Almost surely, 2^3934956480 is an apocalyptic number.

3934956480 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 3934956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7941771264).

3934956480 is an abundant number, since it is smaller than the sum of its proper divisors (11948586048).

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

3934956480 is a wasteful number, since it uses less digits than its factorization.

3934956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The square root of 3934956480 is about 62729.2314634892. The cubic root of 3934956480 is about 1578.7498095186.

The spelling of 3934956480 in words is "three billion, nine hundred thirty-four million, nine hundred fifty-six thousand, four hundred eighty".