3789355934400 has 168 divisors, whose sum is σ = 12436672134480. Its totient is φ = 1010135101440.

The previous prime is 3789355934341. The next prime is 3789355934411. The reversal of 3789355934400 is 44395539873.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13478466 + ... + 13756734.

Almost surely, 2^{3789355934400} is an apocalyptic number.

3789355934400 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 3789355934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218336067240).

3789355934400 is an abundant number, since it is smaller than the sum of its proper divisors (8647316200080).

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

3789355934400 is a wasteful number, since it uses less digits than its factorization.

3789355934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281131 (or 281116 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 3789355934400 in words is "three trillion, seven hundred eighty-nine billion, three hundred fifty-five million, nine hundred thirty-four thousand, four hundred".