3946705340160 has 576 divisors, whose sum is σ = 14090452992000. Its totient is φ = 933199626240.

The previous prime is 3946705340113. The next prime is 3946705340173. The reversal of 3946705340160 is 610435076493.

It is a super-2 number, since 2×3946705340160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1974338841 + ... + 1974340839.

It is an arithmetic number, because the mean of its divisors is an integer number (24462592000).

Almost surely, 2^{3946705340160} is an apocalyptic number.

3946705340160 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 3946705340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045226496000).

3946705340160 is an abundant number, since it is smaller than the sum of its proper divisors (10143747651840).

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

3946705340160 is a wasteful number, since it uses less digits than its factorization.

3946705340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 3946705340160 in words is "three trillion, nine hundred forty-six billion, seven hundred five million, three hundred forty thousand, one hundred sixty".