3935798100 has 252 divisors, whose sum is σ = 13793498236. Its totient is φ = 968578560.

The previous prime is 3935798081. The next prime is 3935798117. The reversal of 3935798100 is 18975393.

It is a happy number.

3935798100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1536953616 + 2398844484 = 39204^2 + 48978^2 .

It is a super-2 number, since 2×3935798100² = 30981013367927220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 945624 + ... + 949776.

Almost surely, 2^3935798100 is an apocalyptic number.

3935798100 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 3935798100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896749118).

3935798100 is an abundant number, since it is smaller than the sum of its proper divisors (9857700136).

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

3935798100 is a wasteful number, since it uses less digits than its factorization.

3935798100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 3935798100 is about 62735.9394605676. The cubic root of 3935798100 is about 1578.8623573704.

The spelling of 3935798100 in words is "three billion, nine hundred thirty-five million, seven hundred ninety-eight thousand, one hundred".