3969761030400 has 648 divisors, whose sum is σ = 14427392247520. Its totient is φ = 960557875200.

The previous prime is 3969761030353. The next prime is 3969761030407. The reversal of 3969761030400 is 40301679693.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3969761030400.

It is not an unprimeable number, because it can be changed into a prime (3969761030407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1563512331 + ... + 1563514869.

Almost surely, 2^{3969761030400} is an apocalyptic number.

3969761030400 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 3969761030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213696123760).

3969761030400 is an abundant number, since it is smaller than the sum of its proper divisors (10457631217120).

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

3969761030400 is a wasteful number, since it uses less digits than its factorization.

3969761030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 3969761030400 in words is "three trillion, nine hundred sixty-nine billion, seven hundred sixty-one million, thirty thousand, four hundred".