3618295971840 has 1496 divisors, whose sum is σ = 15045719781168. Its totient is φ = 825564856320.

The previous prime is 3618295971833. The next prime is 3618295971863. The reversal of 3618295971840 is 481795928163.

3618295971840 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 29 + 597 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1496).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 212840939512 + ... + 212840939528.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3618295971840 = 7236591943680, but 3⋅3618295971840 = 10854887915520 is not.

Almost surely, 2^{3618295971840} is an apocalyptic number.

3618295971840 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 3618295971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522859890584).

3618295971840 is an abundant number, since it is smaller than the sum of its proper divisors (11427423809328).

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

3618295971840 is an frugal number, since it uses more digits than its factorization.

3618295971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 3618295971840 in words is "three trillion, six hundred eighteen billion, two hundred ninety-five million, nine hundred seventy-one thousand, eight hundred forty".