3948266735840 has 288 divisors, whose sum is σ = 10968740756064. Its totient is φ = 1339002040320.

The previous prime is 3948266735753. The next prime is 3948266735863. The reversal of 3948266735840 is 485376628493.

It is a happy number.

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, 614895830 + ... + 614902250.

It is an arithmetic number, because the mean of its divisors is an integer number (38085905403).

Almost surely, 2^{3948266735840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3948266735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484370378032).

3948266735840 is an abundant number, since it is smaller than the sum of its proper divisors (7020474020224).

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

3948266735840 is a wasteful number, since it uses less digits than its factorization.

3948266735840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 65.

The spelling of 3948266735840 in words is "three trillion, nine hundred forty-eight billion, two hundred sixty-six million, seven hundred thirty-five thousand, eight hundred forty".