3825790154700 has 144 divisors (see below), whose sum is σ = 11281527936000. Its totient is φ = 1000660826880.

The previous prime is 3825790154699. The next prime is 3825790154701. The reversal of 3825790154700 is 74510975283.

It is an interprime number because it is at equal distance from previous prime (3825790154699) and next prime (3825790154701).

It is not an unprimeable number, because it can be changed into a prime (3825790154701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55599717 + ... + 55668483.

It is an arithmetic number, because the mean of its divisors is an integer number (78343944000).

Almost surely, 2^{3825790154700} is an apocalyptic number.

3825790154700 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 3825790154700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640763968000).

3825790154700 is an abundant number, since it is smaller than the sum of its proper divisors (7455737781300).

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

3825790154700 is a wasteful number, since it uses less digits than its factorization.

3825790154700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72336 (or 72329 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 3825790154700 in words is "three trillion, eight hundred twenty-five billion, seven hundred ninety million, one hundred fifty-four thousand, seven hundred".