3790442784800 has 144 divisors (see below), whose sum is σ = 10791159321600. Its totient is φ = 1299580289280.

The previous prime is 3790442784781. The next prime is 3790442784803. The reversal of 3790442784800 is 84872440973.

It is a happy number.

It is a super-2 number, since 2×3790442784800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (3790442784803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6632384 + ... + 7181183.

It is an arithmetic number, because the mean of its divisors is an integer number (74938606400).

Almost surely, 2^{3790442784800} is an apocalyptic number.

It is an amenable number.

3790442784800 is an abundant number, since it is smaller than the sum of its proper divisors (7000716536800).

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

3790442784800 is a wasteful number, since it uses less digits than its factorization.

3790442784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13813608 (or 13813581 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 3790442784800 in words is "three trillion, seven hundred ninety billion, four hundred forty-two million, seven hundred eighty-four thousand, eight hundred".