3820037284800 has 1344 divisors, whose sum is σ = 16046692945920. Its totient is φ = 874925568000.

The previous prime is 3820037284799. The next prime is 3820037284807. The reversal of 3820037284800 is 84827300283.

3820037284800 is a `hidden beast` number, since 38 + 200 + 372 + 8 + 48 + 0 + 0 = 666.

It is a super-2 number, since 2×3820037284800² (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 not an unprimeable number, because it can be changed into a prime (3820037284807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 907154695 + ... + 907158905.

It is an arithmetic number, because the mean of its divisors is an integer number (11939503680).

Almost surely, 2^{3820037284800} is an apocalyptic number.

3820037284800 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 3820037284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023346472960).

3820037284800 is an abundant number, since it is smaller than the sum of its proper divisors (12226655661120).

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

3820037284800 is a wasteful number, since it uses less digits than its factorization.

3820037284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 3820037284800 in words is "three trillion, eight hundred twenty billion, thirty-seven million, two hundred eighty-four thousand, eight hundred".