3950965800 has 144 divisors (see below), whose sum is σ = 13726381500. Its totient is φ = 1017246720.

The previous prime is 3950965789. The next prime is 3950965819. The reversal of 3950965800 is 85690593.

3950965800 is a `hidden beast` number, since 3 + 9 + 509 + 65 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2866317444 + 1084648356 = 53538^2 + 32934^2 .

It is a super-2 number, since 2×3950965800² = 31220261505539280000, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 14356 + ... + 90044.

Almost surely, 2^3950965800 is an apocalyptic number.

3950965800 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 3950965800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863190750).

3950965800 is an abundant number, since it is smaller than the sum of its proper divisors (9775415700).

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

3950965800 is a wasteful number, since it uses less digits than its factorization.

3950965800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75740 (or 75728 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 3950965800 is about 62856.7084725250. The cubic root of 3950965800 is about 1580.8879535854.

The spelling of 3950965800 in words is "three billion, nine hundred fifty million, nine hundred sixty-five thousand, eight hundred".