3961658937600 has 4536 divisors, whose sum is σ = 19453972699392. Its totient is φ = 790091366400.

The previous prime is 3961658937581. The next prime is 3961658937611. The reversal of 3961658937600 is 67398561693.

3961658937600 is a `hidden beast` number, since 3 + 9 + 6 + 16 + 5 + 8 + 9 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 92131603179 + ... + 92131603221.

Almost surely, 2^{3961658937600} is an apocalyptic number.

3961658937600 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 3961658937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726986349696).

3961658937600 is an abundant number, since it is smaller than the sum of its proper divisors (15492313761792).

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

3961658937600 is a wasteful number, since it uses less digits than its factorization.

3961658937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 3961658937600 in words is "three trillion, nine hundred sixty-one billion, six hundred fifty-eight million, nine hundred thirty-seven thousand, six hundred".