3966346137600 has 2496 divisors, whose sum is σ = 18783491112960. Its totient is φ = 796262400000.

The previous prime is 3966346137547. The next prime is 3966346137619. The reversal of 3966346137600 is 67316436693.

3966346137600 is a `hidden beast` number, since 3 + 96 + 6 + 3 + 461 + 37 + 60 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6599577300 + ... + 6599577900.

Almost surely, 2^{3966346137600} is an apocalyptic number.

3966346137600 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 3966346137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391745556480).

3966346137600 is an abundant number, since it is smaller than the sum of its proper divisors (14817144975360).

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

3966346137600 is a wasteful number, since it uses less digits than its factorization.

3966346137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 3966346137600 in words is "three trillion, nine hundred sixty-six billion, three hundred forty-six million, one hundred thirty-seven thousand, six hundred".