3810130964640 has 1152 divisors, whose sum is σ = 17528542746624. Its totient is φ = 727833600000.

The previous prime is 3810130964611. The next prime is 3810130964723. The reversal of 3810130964640 is 464690310183.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 361796175 + ... + 361806705.

It is an arithmetic number, because the mean of its divisors is an integer number (15215748912).

Almost surely, 2^{3810130964640} is an apocalyptic number.

3810130964640 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 3810130964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764271373312).

3810130964640 is an abundant number, since it is smaller than the sum of its proper divisors (13718411781984).

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

3810130964640 is a wasteful number, since it uses less digits than its factorization.

3810130964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10834 (or 10823 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3810130964640 in words is "three trillion, eight hundred ten billion, one hundred thirty million, nine hundred sixty-four thousand, six hundred forty".