3783235776900 has 144 divisors (see below), whose sum is σ = 11363636222400. Its totient is φ = 970631907840.

The previous prime is 3783235776841. The next prime is 3783235776907. The reversal of 3783235776900 is 96775323873.

It is a super-3 number, since 3×3783235776900³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3783235776907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693806 + ... + 3230394.

Almost surely, 2^{3783235776900} is an apocalyptic number.

3783235776900 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 3783235776900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681818111200).

3783235776900 is an abundant number, since it is smaller than the sum of its proper divisors (7580400445500).

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

3783235776900 is a wasteful number, since it uses less digits than its factorization.

3783235776900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536918 (or 1536911 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 60.

The spelling of 3783235776900 in words is "three trillion, seven hundred eighty-three billion, two hundred thirty-five million, seven hundred seventy-six thousand, nine hundred".