3946342400 has 648 divisors, whose sum is σ = 13473180630. Its totient is φ = 1135411200.

The previous prime is 3946342399. The next prime is 3946342409. The reversal of 3946342400 is 42436493.

It can be written as a sum of positive squares in 3 ways, for example, as 2191737856 + 1754604544 = 46816^2 + 41888^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3946342409) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 303564794 + ... + 303564806.

Almost surely, 2^3946342400 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 3946342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736590315).

3946342400 is an abundant number, since it is smaller than the sum of its proper divisors (9526838230).

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

3946342400 is a wasteful number, since it uses less digits than its factorization.

3946342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 3946342400 is about 62819.9204074631. The cubic root of 3946342400 is about 1580.2710638927.

Adding to 3946342400 its reverse (42436493), we get a palindrome (3988778893).

The spelling of 3946342400 in words is "three billion, nine hundred forty-six million, three hundred forty-two thousand, four hundred".