3772280413440 has 1728 divisors, whose sum is σ = 16897241088000. Its totient is φ = 770041036800.

The previous prime is 3772280413427. The next prime is 3772280413441. The reversal of 3772280413440 is 443140822773.

3772280413440 is a `hidden beast` number, since 3 + 7 + 7 + 228 + 0 + 413 + 4 + 4 + 0 = 666.

3772280413440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3772280413441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2564431905 + ... + 2564433375.

It is an arithmetic number, because the mean of its divisors is an integer number (9778496000).

Almost surely, 2^{3772280413440} is an apocalyptic number.

3772280413440 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 3772280413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8448620544000).

3772280413440 is an abundant number, since it is smaller than the sum of its proper divisors (13124960674560).

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

3772280413440 is a wasteful number, since it uses less digits than its factorization.

3772280413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 3772280413440 in words is "three trillion, seven hundred seventy-two billion, two hundred eighty million, four hundred thirteen thousand, four hundred forty".