3788589974400 has 3072 divisors, whose sum is σ = 18194906880000. Its totient is φ = 746894131200.

The previous prime is 3788589974399. The next prime is 3788589974419. The reversal of 3788589974400 is 44799858873.

3788589974400 is a `hidden beast` number, since 3 + 7 + 88 + 58 + 9 + 97 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 14083977466 + ... + 14083977734.

It is an arithmetic number, because the mean of its divisors is an integer number (5922821250).

Almost surely, 2^{3788589974400} is an apocalyptic number.

3788589974400 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 3788589974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097453440000).

3788589974400 is an abundant number, since it is smaller than the sum of its proper divisors (14406316905600).

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

3788589974400 is a wasteful number, since it uses less digits than its factorization.

3788589974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 3788589974400 in words is "three trillion, seven hundred eighty-eight billion, five hundred eighty-nine million, nine hundred seventy-four thousand, four hundred".