3814545138300 has 432 divisors, whose sum is σ = 13199745974688. Its totient is φ = 915405004800.

The previous prime is 3814545138211. The next prime is 3814545138317. The reversal of 3814545138300 is 38315454183.

It is a happy number.

3814545138300 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 54 + 513 + 83 + 0 + 0 = 666.

3814545138300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3814545138300² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1147920439 + ... + 1147923761.

It is an arithmetic number, because the mean of its divisors is an integer number (30554967534).

Almost surely, 2^{3814545138300} is an apocalyptic number.

3814545138300 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 3814545138300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599872987344).

3814545138300 is an abundant number, since it is smaller than the sum of its proper divisors (9385200836388).

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

3814545138300 is a wasteful number, since it uses less digits than its factorization.

3814545138300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 3814545138300 in words is "three trillion, eight hundred fourteen billion, five hundred forty-five million, one hundred thirty-eight thousand, three hundred".