3944774400 has 432 divisors, whose sum is σ = 15207360000. Its totient is φ = 900157440.

The previous prime is 3944774371. The next prime is 3944774429. The reversal of 3944774400 is 44774493.

It is an interprime number because it is at equal distance from previous prime (3944774371) and next prime (3944774429).

It is a super-2 number, since 2×3944774400² = 31122490133790720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6585301 + ... + 6585899.

Almost surely, 2^3944774400 is an apocalyptic number.

3944774400 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 3944774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603680000).

3944774400 is an abundant number, since it is smaller than the sum of its proper divisors (11262585600).

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

3944774400 is an equidigital number, since it uses as much as digits as its factorization.

3944774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 3944774400 is about 62807.4390498450. The cubic root of 3944774400 is about 1580.0617398296.

The spelling of 3944774400 in words is "three billion, nine hundred forty-four million, seven hundred seventy-four thousand, four hundred".