3842731761540 has 192 divisors, whose sum is σ = 12832717234176. Its totient is φ = 840062665728.

The previous prime is 3842731761509. The next prime is 3842731761581. The reversal of 3842731761540 is 451671372483.

It is a super-2 number, since 2×3842731761540² (a number of 26 digits) contains 22 as substring.

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, 146751289 + ... + 146777471.

It is an arithmetic number, because the mean of its divisors is an integer number (66837068928).

Almost surely, 2^{3842731761540} is an apocalyptic number.

3842731761540 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 3842731761540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416358617088).

3842731761540 is an abundant number, since it is smaller than the sum of its proper divisors (8989985472636).

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

3842731761540 is a wasteful number, since it uses less digits than its factorization.

3842731761540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41418 (or 41416 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 3842731761540 in words is "three trillion, eight hundred forty-two billion, seven hundred thirty-one million, seven hundred sixty-one thousand, five hundred forty".