3902651348800 has 168 divisors, whose sum is σ = 10257830539416. Its totient is φ = 1456230236160.

The previous prime is 3902651348741. The next prime is 3902651348831. The reversal of 3902651348800 is 88431562093.

It can be written as a sum of positive squares in 12 ways, for example, as 2656873920064 + 1245777428736 = 1629992^2 + 1116144^2 .

It is a super-2 number, since 2×3902651348800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438734 + ... + 3708466.

Almost surely, 2^{3902651348800} 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 3902651348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128915269708).

3902651348800 is an abundant number, since it is smaller than the sum of its proper divisors (6355179190616).

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

3902651348800 is a wasteful number, since it uses less digits than its factorization.

3902651348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269885 (or 1269870 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 3902651348800 in words is "three trillion, nine hundred two billion, six hundred fifty-one million, three hundred forty-eight thousand, eight hundred".