3830625188100 has 216 divisors, whose sum is σ = 12434147517792. Its totient is φ = 985722393600.

The previous prime is 3830625188077. The next prime is 3830625188107. The reversal of 3830625188100 is 18815260383.

3830625188100 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 625 + 1 + 8 + 8 + 10 + 0 = 666.

It is a super-2 number, since 2×3830625188100² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3830625188107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2615820 + ... + 3808380.

Almost surely, 2^{3830625188100} is an apocalyptic number.

3830625188100 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 3830625188100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217073758896).

3830625188100 is an abundant number, since it is smaller than the sum of its proper divisors (8603522329692).

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

3830625188100 is a wasteful number, since it uses less digits than its factorization.

3830625188100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192707 (or 1192697 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 3830625188100 in words is "three trillion, eight hundred thirty billion, six hundred twenty-five million, one hundred eighty-eight thousand, one hundred".