3801502504800 has 6912 divisors, whose sum is σ = 21227121377280. Its totient is φ = 613122048000.

The previous prime is 3801502504769. The next prime is 3801502504837. The reversal of 3801502504800 is 84052051083.

It is a happy number.

3801502504800 is a `hidden beast` number, since 3 + 8 + 0 + 150 + 25 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 53542288765 + ... + 53542288835.

It is an arithmetic number, because the mean of its divisors is an integer number (3071053440).

Almost surely, 2^{3801502504800} is an apocalyptic number.

3801502504800 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 3801502504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10613560688640).

3801502504800 is an abundant number, since it is smaller than the sum of its proper divisors (17425618872480).

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

3801502504800 is a wasteful number, since it uses less digits than its factorization.

3801502504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 3801502504800 its reverse (84052051083), we get a palindrome (3885554555883).

The spelling of 3801502504800 in words is "three trillion, eight hundred one billion, five hundred two million, five hundred four thousand, eight hundred".