3969488397600 has 1008 divisors, whose sum is σ = 16015865231520. Its totient is φ = 952230297600.

The previous prime is 3969488397557. The next prime is 3969488397617. The reversal of 3969488397600 is 67938849693.

3969488397600 is a `hidden beast` number, since 3 + 9 + 6 + 9 + 4 + 8 + 8 + 3 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 622271211 + ... + 622277589.

It is an arithmetic number, because the mean of its divisors is an integer number (15888755190).

Almost surely, 2^{3969488397600} is an apocalyptic number.

3969488397600 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 3969488397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007932615760).

3969488397600 is an abundant number, since it is smaller than the sum of its proper divisors (12046376833920).

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

3969488397600 is a wasteful number, since it uses less digits than its factorization.

3969488397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 3969488397600 in words is "three trillion, nine hundred sixty-nine billion, four hundred eighty-eight million, three hundred ninety-seven thousand, six hundred".