3934863360 has 300 divisors, whose sum is σ = 14130572148. Its totient is φ = 1047527424.

The previous prime is 3934863319. The next prime is 3934863397. The reversal of 3934863360 is 633684393.

3934863360 is a `hidden beast` number, since 3 + 9 + 3 + 4 + 8 + 633 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1916338176 + 2018525184 = 43776^2 + 44928^2 .

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 19 ways as a sum of consecutive naturals, for example, 6635224 + ... + 6635816.

Almost surely, 2^3934863360 is an apocalyptic number.

3934863360 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 3934863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065286074).

3934863360 is an abundant number, since it is smaller than the sum of its proper divisors (10195708788).

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

3934863360 is an frugal number, since it uses more digits than its factorization.

3934863360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3934863360 is about 62728.4892214056. The cubic root of 3934863360 is about 1578.7373558153.

The spelling of 3934863360 in words is "three billion, nine hundred thirty-four million, eight hundred sixty-three thousand, three hundred sixty".