3772440804608 has 864 divisors, whose sum is σ = 10090987167744. Its totient is φ = 1372501573632.

The previous prime is 3772440804581. The next prime is 3772440804623. The reversal of 3772440804608 is 8064080442773.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a self number, because there is not a number n which added to its sum of digits gives 3772440804608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29704258241 + ... + 29704258367.

It is an arithmetic number, because the mean of its divisors is an integer number (11679383296).

Almost surely, 2^{3772440804608} is an apocalyptic number.

3772440804608 is a gapful number since it is divisible by the number (38) 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 3772440804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045493583872).

3772440804608 is an abundant number, since it is smaller than the sum of its proper divisors (6318546363136).

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

3772440804608 is a wasteful number, since it uses less digits than its factorization.

3772440804608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 53.

The spelling of 3772440804608 in words is "three trillion, seven hundred seventy-two billion, four hundred forty million, eight hundred four thousand, six hundred eight".