3973618877910 has 256 divisors, whose sum is σ = 10918466979840. Its totient is φ = 916130856960.

The previous prime is 3973618877897. The next prime is 3973618877953. The reversal of 3973618877910 is 197788163793.

3973618877910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1178064984 + ... + 1178068356.

It is an arithmetic number, because the mean of its divisors is an integer number (42650261640).

Almost surely, 2^{3973618877910} is an apocalyptic number.

3973618877910 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 3973618877910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459233489920).

3973618877910 is an abundant number, since it is smaller than the sum of its proper divisors (6944848101930).

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

3973618877910 is a wasteful number, since it uses less digits than its factorization.

3973618877910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263.

The product of its (nonzero) digits is 96018048, while the sum is 69.

The spelling of 3973618877910 in words is "three trillion, nine hundred seventy-three billion, six hundred eighteen million, eight hundred seventy-seven thousand, nine hundred ten".