3946352400 has 225 divisors, whose sum is σ = 14203840431. Its totient is φ = 1049345280.

The previous prime is 3946352369. The next prime is 3946352419. The reversal of 3946352400 is 42536493.

The square root of 3946352400 is 62820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40602384 + 3905750016 = 6372^2 + 62496^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11307426 + ... + 11307774.

Almost surely, 2^3946352400 is an apocalyptic number.

3946352400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3946352400 is the 62820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3946352400

3946352400 is an abundant number, since it is smaller than the sum of its proper divisors (10257488031).

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

3946352400 is an equidigital number, since it uses as much as digits as its factorization.

3946352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The cubic root of 3946352400 is about 1580.2723986897.

Multiplying 3946352400 by its sum of digits (36), we get a square (142068686400 = 376920²).

3946352400 divided by its sum of digits (36) gives a square (109620900 = 10470²).

Adding to 3946352400 its reverse (42536493), we get a palindrome (3988888893).

The spelling of 3946352400 in words is "three billion, nine hundred forty-six million, three hundred fifty-two thousand, four hundred".