3949070400 has 504 divisors, whose sum is σ = 15521354784. Its totient is φ = 944332800.

The previous prime is 3949070387. The next prime is 3949070449. The reversal of 3949070400 is 40709493.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16948684 + ... + 16948916.

Almost surely, 2^3949070400 is an apocalyptic number.

3949070400 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 3949070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760677392).

3949070400 is an abundant number, since it is smaller than the sum of its proper divisors (11572284384).

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

3949070400 is a wasteful number, since it uses less digits than its factorization.

3949070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3949070400 is about 62841.6295142002. The cubic root of 3949070400 is about 1580.6351129329.

Adding to 3949070400 its reverse (40709493), we get a palindrome (3989779893).

The spelling of 3949070400 in words is "three billion, nine hundred forty-nine million, seventy thousand, four hundred".