3901195800 has 144 divisors (see below), whose sum is σ = 13123646640. Its totient is φ = 1038562560.

The previous prime is 3901195799. The next prime is 3901195811. The reversal of 3901195800 is 85911093.

It is a happy number.

3901195800 is a `hidden beast` number, since 390 + 1 + 195 + 80 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1335942 + ... + 1338858.

It is an arithmetic number, because the mean of its divisors is an integer number (91136435).

Almost surely, 2^3901195800 is an apocalyptic number.

3901195800 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 3901195800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561823320).

3901195800 is an abundant number, since it is smaller than the sum of its proper divisors (9222450840).

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

3901195800 is a wasteful number, since it uses less digits than its factorization.

3901195800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 3901195800 is about 62459.5533125238. The cubic root of 3901195800 is about 1574.2217772896.

The spelling of 3901195800 in words is "three billion, nine hundred one million, one hundred ninety-five thousand, eight hundred".