3963904208352 has 360 divisors, whose sum is σ = 12927383563248. Its totient is φ = 1190542510080.

The previous prime is 3963904208321. The next prime is 3963904208419. The reversal of 3963904208352 is 2538024093693.

It is a happy number.

3963904208352 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 90 + 420 + 83 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35384493 + ... + 35496339.

Almost surely, 2^{3963904208352} is an apocalyptic number.

3963904208352 is a gapful number since it is divisible by the number (32) 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 3963904208352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463691781624).

3963904208352 is an abundant number, since it is smaller than the sum of its proper divisors (8963479354896).

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

3963904208352 is a wasteful number, since it uses less digits than its factorization.

3963904208352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112004 (or 111976 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3963904208352 in words is "three trillion, nine hundred sixty-three billion, nine hundred four million, two hundred eight thousand, three hundred fifty-two".