3859428565440 has 672 divisors, whose sum is σ = 15760395915264. Its totient is φ = 880626401280.

The previous prime is 3859428565423. The next prime is 3859428565457. The reversal of 3859428565440 is 445658249583.

3859428565440 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 4 + 2 + 85 + 6 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3859428565423) and next prime (3859428565457).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330396400 + ... + 330408080.

It is an arithmetic number, because the mean of its divisors is an integer number (23452970112).

Almost surely, 2^{3859428565440} is an apocalyptic number.

3859428565440 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 3859428565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880197957632).

3859428565440 is an abundant number, since it is smaller than the sum of its proper divisors (11900967349824).

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

3859428565440 is a wasteful number, since it uses less digits than its factorization.

3859428565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 3859428565440 in words is "three trillion, eight hundred fifty-nine billion, four hundred twenty-eight million, five hundred sixty-five thousand, four hundred forty".