3961339036200 has 3840 divisors, whose sum is σ = 18753799680000. Its totient is φ = 768144384000.

The previous prime is 3961339036189. The next prime is 3961339036211. The reversal of 3961339036200 is 26309331693.

3961339036200 is a `hidden beast` number, since 3 + 9 + 6 + 13 + 3 + 9 + 0 + 3 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3961339036189) and next prime (3961339036211).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 64939984170 + ... + 64939984230.

It is an arithmetic number, because the mean of its divisors is an integer number (4883802000).

Almost surely, 2^{3961339036200} is an apocalyptic number.

3961339036200 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 3961339036200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376899840000).

3961339036200 is an abundant number, since it is smaller than the sum of its proper divisors (14792460643800).

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

3961339036200 is a wasteful number, since it uses less digits than its factorization.

3961339036200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 3961339036200 in words is "three trillion, nine hundred sixty-one billion, three hundred thirty-nine million, thirty-six thousand, two hundred".