3948501866400 has 1728 divisors, whose sum is σ = 17633988852480. Its totient is φ = 809135308800.

The previous prime is 3948501866377. The next prime is 3948501866429. The reversal of 3948501866400 is 46681058493.

3948501866400 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 50 + 186 + 6 + 400 = 666.

It is a super-3 number, since 3×3948501866400³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7578698140 + ... + 7578698660.

It is an arithmetic number, because the mean of its divisors is an integer number (10204854660).

Almost surely, 2^{3948501866400} is an apocalyptic number.

3948501866400 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 3948501866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816994426240).

3948501866400 is an abundant number, since it is smaller than the sum of its proper divisors (13685486986080).

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

3948501866400 is a wasteful number, since it uses less digits than its factorization.

3948501866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3948501866400 in words is "three trillion, nine hundred forty-eight billion, five hundred one million, eight hundred sixty-six thousand, four hundred".