3949344000 has 576 divisors, whose sum is σ = 16682964480. Its totient is φ = 901324800.

The previous prime is 3949343969. The next prime is 3949344013. The reversal of 3949344000 is 4439493.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 6047674 + ... + 6048326.

It is an arithmetic number, because the mean of its divisors is an integer number (28963480).

Almost surely, 2^3949344000 is an apocalyptic number.

3949344000 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 3949344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341482240).

3949344000 is an abundant number, since it is smaller than the sum of its proper divisors (12733620480).

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

3949344000 is an equidigital number, since it uses as much as digits as its factorization.

3949344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3949344000 is about 62843.8063773989. The cubic root of 3949344000 is about 1580.6716153446.

The spelling of 3949344000 in words is "three billion, nine hundred forty-nine million, three hundred forty-four thousand".