3946759344 has 280 divisors, whose sum is σ = 13173710400. Its totient is φ = 1132341120.

The previous prime is 3946759339. The next prime is 3946759357. The reversal of 3946759344 is 4439576493.

It is a happy number.

3946759344 is a `hidden beast` number, since 3 + 9 + 4 + 6 + 7 + 593 + 44 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2436967 + ... + 2438585.

Almost surely, 2^3946759344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3946759344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586855200).

3946759344 is an abundant number, since it is smaller than the sum of its proper divisors (9226951056).

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

3946759344 is a wasteful number, since it uses less digits than its factorization.

3946759344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1654 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 3946759344 is about 62823.2388849859. The cubic root of 3946759344 is about 1580.3267155375.

The spelling of 3946759344 in words is "three billion, nine hundred forty-six million, seven hundred fifty-nine thousand, three hundred forty-four".