3948889190400 has 2496 divisors, whose sum is σ = 18389568230400. Its totient is φ = 816965222400.

The previous prime is 3948889190371. The next prime is 3948889190431. The reversal of 3948889190400 is 40919888493.

3948889190400 is a `hidden beast` number, since 39 + 4 + 8 + 8 + 8 + 9 + 190 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17244057486 + ... + 17244057714.

Almost surely, 2^{3948889190400} is an apocalyptic number.

3948889190400 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 3948889190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194784115200).

3948889190400 is an abundant number, since it is smaller than the sum of its proper divisors (14440679040000).

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

3948889190400 is an equidigital number, since it uses as much as digits as its factorization.

3948889190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 3948889190400 in words is "three trillion, nine hundred forty-eight billion, eight hundred eighty-nine million, one hundred ninety thousand, four hundred".