3844476249900 has 576 divisors, whose sum is σ = 14076155068416. Its totient is φ = 796346496000.

The previous prime is 3844476249839. The next prime is 3844476249961. The reversal of 3844476249900 is 99426744483.

It is an interprime number because it is at equal distance from previous prime (3844476249839) and next prime (3844476249961).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30524857 + ... + 30650543.

It is an arithmetic number, because the mean of its divisors is an integer number (24437769216).

Almost surely, 2^{3844476249900} is an apocalyptic number.

3844476249900 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 3844476249900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038077534208).

3844476249900 is an abundant number, since it is smaller than the sum of its proper divisors (10231678818516).

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

3844476249900 is a wasteful number, since it uses less digits than its factorization.

3844476249900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125782 (or 125775 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 3844476249900 in words is "three trillion, eight hundred forty-four billion, four hundred seventy-six million, two hundred forty-nine thousand, nine hundred".