3970472200800 has 288 divisors, whose sum is σ = 14936119027200. Its totient is φ = 897339125760.

The previous prime is 3970472200789. The next prime is 3970472200801. The reversal of 3970472200800 is 80022740793.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970472200801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167461 + ... + 2822939.

It is an arithmetic number, because the mean of its divisors is an integer number (51861524400).

Almost surely, 2^{3970472200800} is an apocalyptic number.

3970472200800 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 3970472200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468059513600).

3970472200800 is an abundant number, since it is smaller than the sum of its proper divisors (10965646826400).

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

3970472200800 is a wasteful number, since it uses less digits than its factorization.

3970472200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655598 (or 2655585 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 3970472200800 in words is "three trillion, nine hundred seventy billion, four hundred seventy-two million, two hundred thousand, eight hundred".