3940002731826 has 384 divisors, whose sum is σ = 10723822626816. Its totient is φ = 1019939143680.

The previous prime is 3940002731813. The next prime is 3940002731839. The reversal of 3940002731826 is 6281372000493.

It is an interprime number because it is at equal distance from previous prime (3940002731813) and next prime (3940002731839).

It is a super-3 number, since 3×3940002731826³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4799028496 + ... + 4799029316.

It is an arithmetic number, because the mean of its divisors is an integer number (27926621424).

Almost surely, 2^{3940002731826} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3940002731826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361911313408).

3940002731826 is an abundant number, since it is smaller than the sum of its proper divisors (6783819894990).

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

3940002731826 is a wasteful number, since it uses less digits than its factorization.

3940002731826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3940002731826 in words is "three trillion, nine hundred forty billion, two million, seven hundred thirty-one thousand, eight hundred twenty-six".