3961670860800 has 1140 divisors, whose sum is σ = 15575476253040. Its totient is φ = 992036782080.

The previous prime is 3961670860781. The next prime is 3961670860879. The reversal of 3961670860800 is 80680761693.

It is a happy number.

It is a super-3 number, since 3×3961670860800³ (a number of 39 digits) contains 333 as substring.

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, 9024306981 + ... + 9024307419.

Almost surely, 2^{3961670860800} is an apocalyptic number.

3961670860800 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 3961670860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787738126520).

3961670860800 is an abundant number, since it is smaller than the sum of its proper divisors (11613805392240).

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

3961670860800 is an frugal number, since it uses more digits than its factorization.

3961670860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3961670860800 in words is "three trillion, nine hundred sixty-one billion, six hundred seventy million, eight hundred sixty thousand, eight hundred".