3853742411640 has 192 divisors, whose sum is σ = 12712680852480. Its totient is φ = 933881414400.

The previous prime is 3853742411627. The next prime is 3853742411653. The reversal of 3853742411640 is 461142473583.

It is an interprime number because it is at equal distance from previous prime (3853742411627) and next prime (3853742411653).

It is a self number, because there is not a number n which added to its sum of digits gives 3853742411640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38733237 + ... + 38832603.

It is an arithmetic number, because the mean of its divisors is an integer number (66211879440).

Almost surely, 2^{3853742411640} is an apocalyptic number.

3853742411640 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 3853742411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356340426240).

3853742411640 is an abundant number, since it is smaller than the sum of its proper divisors (8858938440840).

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

3853742411640 is a wasteful number, since it uses less digits than its factorization.

3853742411640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102074 (or 102059 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 3853742411640 in words is "three trillion, eight hundred fifty-three billion, seven hundred forty-two million, four hundred eleven thousand, six hundred forty".