3889751720400 has 1440 divisors, whose sum is σ = 16953908491520. Its totient is φ = 804065771520.

The previous prime is 3889751720353. The next prime is 3889751720411. The reversal of 3889751720400 is 40271579883.

It is a happy number.

3889751720400 is a `hidden beast` number, since 3 + 8 + 89 + 7 + 517 + 2 + 0 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3463714239 + ... + 3463715361.

Almost surely, 2^{3889751720400} is an apocalyptic number.

3889751720400 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 3889751720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476954245760).

3889751720400 is an abundant number, since it is smaller than the sum of its proper divisors (13064156771120).

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

3889751720400 is a wasteful number, since it uses less digits than its factorization.

3889751720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 3889751720400 in words is "three trillion, eight hundred eighty-nine billion, seven hundred fifty-one million, seven hundred twenty thousand, four hundred".