3800145300 has 144 divisors (see below), whose sum is σ = 12587444352. Its totient is φ = 867110400.

The previous prime is 3800145281. The next prime is 3800145341. The reversal of 3800145300 is 35410083.

It is a super-2 number, since 2×3800145300² = 28882208602224180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622130 + ... + 1624470.

It is an arithmetic number, because the mean of its divisors is an integer number (87412808).

Almost surely, 2^3800145300 is an apocalyptic number.

3800145300 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 3800145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293722176).

3800145300 is an abundant number, since it is smaller than the sum of its proper divisors (8787299052).

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

3800145300 is a wasteful number, since it uses less digits than its factorization.

3800145300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3800145300 is about 61645.3185570486. The cubic root of 3800145300 is about 1560.5106398672.

Adding to 3800145300 its reverse (35410083), we get a palindrome (3835555383).

The spelling of 3800145300 in words is "three billion, eight hundred million, one hundred forty-five thousand, three hundred".