3825368100 has 72 divisors (see below), whose sum is σ = 12297858720. Its totient is φ = 1020097440.

The previous prime is 3825368093. The next prime is 3825368147. The reversal of 3825368100 is 18635283.

It is a super-2 number, since 2×3825368100² = 29266882200995220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705702 + ... + 711101.

Almost surely, 2^3825368100 is an apocalyptic number.

3825368100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3825368100 is an abundant number, since it is smaller than the sum of its proper divisors (8472490620).

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

3825368100 is a wasteful number, since it uses less digits than its factorization.

3825368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416826 (or 1416813 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3825368100 is about 61849.5602247906. The cubic root of 3825368100 is about 1563.9555682112.

The spelling of 3825368100 in words is "three billion, eight hundred twenty-five million, three hundred sixty-eight thousand, one hundred".