3889391351040 has 576 divisors, whose sum is σ = 14881098355200. Its totient is φ = 956263366656.

The previous prime is 3889391351029. The next prime is 3889391351051. The reversal of 3889391351040 is 401531939883.

3889391351040 is a `hidden beast` number, since 3 + 8 + 89 + 3 + 9 + 1 + 3 + 510 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3889391351029) and next prime (3889391351051).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420970741 + ... + 420979979.

It is an arithmetic number, because the mean of its divisors is an integer number (25835240200).

Almost surely, 2^{3889391351040} is an apocalyptic number.

3889391351040 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 3889391351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440549177600).

3889391351040 is an abundant number, since it is smaller than the sum of its proper divisors (10991707004160).

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

3889391351040 is a wasteful number, since it uses less digits than its factorization.

3889391351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10219 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 3889391351040 in words is "three trillion, eight hundred eighty-nine billion, three hundred ninety-one million, three hundred fifty-one thousand, forty".