3814229503800 has 384 divisors, whose sum is σ = 13936613803200. Its totient is φ = 955514880000.

The previous prime is 3814229503757. The next prime is 3814229503801. The reversal of 3814229503800 is 83059224183.

3814229503800 is a `hidden beast` number, since 3 + 8 + 1 + 42 + 29 + 503 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3814229503801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49625400 + ... + 49702200.

Almost surely, 2^{3814229503800} is an apocalyptic number.

3814229503800 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 3814229503800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968306901600).

3814229503800 is an abundant number, since it is smaller than the sum of its proper divisors (10122384299400).

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

3814229503800 is a wasteful number, since it uses less digits than its factorization.

3814229503800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77384 (or 77369 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3814229503800 in words is "three trillion, eight hundred fourteen billion, two hundred twenty-nine million, five hundred three thousand, eight hundred".