3086052400640 has 640 divisors, whose sum is σ = 8976934010880. Its totient is φ = 1004684083200.

The previous prime is 3086052400631. The next prime is 3086052400663. The reversal of 3086052400640 is 460042506803.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 3086052400594 and 3086052400603.

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, 713206157 + ... + 713210483.

It is an arithmetic number, because the mean of its divisors is an integer number (14026459392).

Almost surely, 2^{3086052400640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3086052400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488467005440).

3086052400640 is an abundant number, since it is smaller than the sum of its proper divisors (5890881610240).

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

3086052400640 is a wasteful number, since it uses less digits than its factorization.

3086052400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 3086052400640 in words is "three trillion, eighty-six billion, fifty-two million, four hundred thousand, six hundred forty".