3812618162640 has 640 divisors, whose sum is σ = 13788403200000. Its totient is φ = 853598453760.

The previous prime is 3812618162623. The next prime is 3812618162641. The reversal of 3812618162640 is 462618162183.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3812618162640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3812618162641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7640517111 + ... + 7640517609.

It is an arithmetic number, because the mean of its divisors is an integer number (21544380000).

Almost surely, 2^{3812618162640} is an apocalyptic number.

3812618162640 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 3812618162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894201600000).

3812618162640 is an abundant number, since it is smaller than the sum of its proper divisors (9975785037360).

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

3812618162640 is a wasteful number, since it uses less digits than its factorization.

3812618162640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 3812618162640 in words is "three trillion, eight hundred twelve billion, six hundred eighteen million, one hundred sixty-two thousand, six hundred forty".