3970948924800 has 3456 divisors, whose sum is σ = 18046533697920. Its totient is φ = 853991424000.

The previous prime is 3970948924799. The next prime is 3970948924919. The reversal of 3970948924800 is 84298490793.

3970948924800 is a `hidden beast` number, since 3 + 9 + 70 + 9 + 4 + 89 + 2 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 59267894367 + ... + 59267894433.

It is an arithmetic number, because the mean of its divisors is an integer number (5221797945).

Almost surely, 2^{3970948924800} is an apocalyptic number.

3970948924800 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 3970948924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023266848960).

3970948924800 is an abundant number, since it is smaller than the sum of its proper divisors (14075584773120).

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

3970948924800 is a wasteful number, since it uses less digits than its factorization.

3970948924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 3970948924800 in words is "three trillion, nine hundred seventy billion, nine hundred forty-eight million, nine hundred twenty-four thousand, eight hundred".