3972028137210 has 640 divisors, whose sum is σ = 13071178137600. Its totient is φ = 845912471040.

The previous prime is 3972028137199. The next prime is 3972028137221. The reversal of 3972028137210 is 127318202793.

3972028137210 is a `hidden beast` number, since 397 + 20 + 28 + 1 + 3 + 7 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (3972028137199) and next prime (3972028137221).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2258116311 + ... + 2258118069.

It is an arithmetic number, because the mean of its divisors is an integer number (20423715840).

Almost surely, 2^{3972028137210} is an apocalyptic number.

3972028137210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972028137210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535589068800).

3972028137210 is an abundant number, since it is smaller than the sum of its proper divisors (9099150000390).

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

3972028137210 is a wasteful number, since it uses less digits than its factorization.

3972028137210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 3972028137210 in words is "three trillion, nine hundred seventy-two billion, twenty-eight million, one hundred thirty-seven thousand, two hundred ten".