3872770400730 has 256 divisors, whose sum is σ = 11992211066880. Its totient is φ = 777002803200.

The previous prime is 3872770400717. The next prime is 3872770400783. The reversal of 3872770400730 is 370040772783.

3872770400730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3872770400730.

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, 11023626 + ... + 11369514.

It is an arithmetic number, because the mean of its divisors is an integer number (46844574480).

Almost surely, 2^{3872770400730} is an apocalyptic number.

3872770400730 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 3872770400730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996105533440).

3872770400730 is an abundant number, since it is smaller than the sum of its proper divisors (8119440666150).

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

3872770400730 is a wasteful number, since it uses less digits than its factorization.

3872770400730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346085.

The product of its (nonzero) digits is 1382976, while the sum is 48.

The spelling of 3872770400730 in words is "three trillion, eight hundred seventy-two billion, seven hundred seventy million, four hundred thousand, seven hundred thirty".