3970863233280 has 504 divisors, whose sum is σ = 14391864277560. Its totient is φ = 1049155338240.

The previous prime is 3970863233159. The next prime is 3970863233357. The reversal of 3970863233280 is 823323680793.

It is a happy number.

3970863233280 is a `hidden beast` number, since 3 + 9 + 70 + 8 + 63 + 233 + 280 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1604336357376 + 2366526875904 = 1266624^2 + 1538352^2 .

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 55 ways as a sum of consecutive naturals, for example, 101690560 + ... + 101729600.

It is an arithmetic number, because the mean of its divisors is an integer number (28555286265).

Almost surely, 2^{3970863233280} is an apocalyptic number.

3970863233280 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 3970863233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195932138780).

3970863233280 is an abundant number, since it is smaller than the sum of its proper divisors (10421001044280).

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

3970863233280 is an equidigital number, since it uses as much as digits as its factorization.

3970863233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39189 (or 39160 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3970863233280 in words is "three trillion, nine hundred seventy billion, eight hundred sixty-three million, two hundred thirty-three thousand, two hundred eighty".