3973061836800 has 1536 divisors, whose sum is σ = 16975599206400. Its totient is φ = 892238561280.

The previous prime is 3973061836789. The next prime is 3973061836811. The reversal of 3973061836800 is 86381603793.

It is an interprime number because it is at equal distance from previous prime (3973061836789) and next prime (3973061836811).

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 10373529409 + ... + 10373529791.

It is an arithmetic number, because the mean of its divisors is an integer number (11051822400).

Almost surely, 2^{3973061836800} is an apocalyptic number.

3973061836800 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 3973061836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487799603200).

3973061836800 is an abundant number, since it is smaller than the sum of its proper divisors (13002537369600).

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

3973061836800 is an equidigital number, since it uses as much as digits as its factorization.

3973061836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3973061836800 in words is "three trillion, nine hundred seventy-three billion, sixty-one million, eight hundred thirty-six thousand, eight hundred".