3946365360 has 600 divisors, whose sum is σ = 16600785696. Its totient is φ = 851005440.

The previous prime is 3946365359. The next prime is 3946365389. The reversal of 3946365360 is 635636493.

3946365360 is a `hidden beast` number, since 3 + 9 + 4 + 636 + 5 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16374840 + ... + 16375080.

Almost surely, 2^3946365360 is an apocalyptic number.

3946365360 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 3946365360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8300392848).

3946365360 is an abundant number, since it is smaller than the sum of its proper divisors (12654420336).

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

3946365360 is a wasteful number, since it uses less digits than its factorization.

3946365360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The square root of 3946365360 is about 62820.1031517778. The cubic root of 3946365360 is about 1580.2741285832.

The spelling of 3946365360 in words is "three billion, nine hundred forty-six million, three hundred sixty-five thousand, three hundred sixty".