3781533352800 has 2304 divisors, whose sum is σ = 16782125875200. Its totient is φ = 718228684800.

The previous prime is 3781533352763. The next prime is 3781533352829. The reversal of 3781533352800 is 82533351873.

3781533352800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3781533352800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5117094831 + ... + 5117095569.

It is an arithmetic number, because the mean of its divisors is an integer number (7283908800).

Almost surely, 2^{3781533352800} is an apocalyptic number.

3781533352800 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 3781533352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391062937600).

3781533352800 is an abundant number, since it is smaller than the sum of its proper divisors (13000592522400).

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

3781533352800 is a wasteful number, since it uses less digits than its factorization.

3781533352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 3781533352800 in words is "three trillion, seven hundred eighty-one billion, five hundred thirty-three million, three hundred fifty-two thousand, eight hundred".