3689345071440 has 960 divisors, whose sum is σ = 15515714073600. Its totient is φ = 782432501760.

The previous prime is 3689345071439. The next prime is 3689345071441. The reversal of 3689345071440 is 441705439863.

3689345071440 is a `hidden beast` number, since 3 + 6 + 8 + 93 + 4 + 507 + 1 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3689345071439) and next prime (3689345071441).

It is a super-2 number, since 2×3689345071440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689345071441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298074532 + ... + 298086908.

It is an arithmetic number, because the mean of its divisors is an integer number (16162202160).

Almost surely, 2^{3689345071440} is an apocalyptic number.

3689345071440 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 3689345071440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757857036800).

3689345071440 is an abundant number, since it is smaller than the sum of its proper divisors (11826369002160).

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

3689345071440 is a wasteful number, since it uses less digits than its factorization.

3689345071440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3689345071440 in words is "three trillion, six hundred eighty-nine billion, three hundred forty-five million, seventy-one thousand, four hundred forty".