3948444900 has 288 divisors, whose sum is σ = 13199155200. Its totient is φ = 1011830400.

The previous prime is 3948444887. The next prime is 3948444919. The reversal of 3948444900 is 94448493.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8242861 + ... + 8243339.

It is an arithmetic number, because the mean of its divisors is an integer number (45830400).

Almost surely, 2^3948444900 is an apocalyptic number.

3948444900 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 3948444900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3948444900 is an abundant number, since it is smaller than the sum of its proper divisors (9250710300).

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

3948444900 is a wasteful number, since it uses less digits than its factorization.

3948444900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3948444900 is about 62836.6525206428. The cubic root of 3948444900 is about 1580.5516553621.

The spelling of 3948444900 in words is "three billion, nine hundred forty-eight million, four hundred forty-four thousand, nine hundred".