3920094900 has 144 divisors (see below), whose sum is σ = 12632316480. Its totient is φ = 1042876800.

The previous prime is 3920094851. The next prime is 3920094917. The reversal of 3920094900 is 94900293.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324222 + ... + 1327178.

It is an arithmetic number, because the mean of its divisors is an integer number (87724420).

Almost surely, 2^3920094900 is an apocalyptic number.

3920094900 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 3920094900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316158240).

3920094900 is an abundant number, since it is smaller than the sum of its proper divisors (8712221580).

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

3920094900 is a wasteful number, since it uses less digits than its factorization.

3920094900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3920094900 is about 62610.6612327326. The cubic root of 3920094900 is about 1576.7597564379.

The spelling of 3920094900 in words is "three billion, nine hundred twenty million, ninety-four thousand, nine hundred".