3946337280 has 176 divisors, whose sum is σ = 14025061440. Its totient is φ = 1052319744.

The previous prime is 3946337273. The next prime is 3946337287. The reversal of 3946337280 is 827336493.

3946337280 is a `hidden beast` number, since 3 + 9 + 4 + 633 + 7 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3946337273) and next prime (3946337287).

It is a super-3 number, since 3×3946337280³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946337287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123967 + ... + 152513.

Almost surely, 2^3946337280 is an apocalyptic number.

3946337280 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 3946337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012530720).

3946337280 is an abundant number, since it is smaller than the sum of its proper divisors (10078724160).

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

3946337280 is a wasteful number, since it uses less digits than its factorization.

3946337280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28581 (or 28557 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3946337280 is about 62819.8796560452. The cubic root of 3946337280 is about 1580.2703804758.

The spelling of 3946337280 in words is "three billion, nine hundred forty-six million, three hundred thirty-seven thousand, two hundred eighty".