3770440138080 has 1152 divisors, whose sum is σ = 16954226795520. Its totient is φ = 783428889600.

The previous prime is 3770440138063. The next prime is 3770440138081. The reversal of 3770440138080 is 808310440773.

3770440138080 is a `hidden beast` number, since 3 + 7 + 70 + 440 + 138 + 0 + 8 + 0 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3770440138081) 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, 188596885 + ... + 188616875.

It is an arithmetic number, because the mean of its divisors is an integer number (14717210760).

Almost surely, 2^{3770440138080} is an apocalyptic number.

3770440138080 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 3770440138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477113397760).

3770440138080 is an abundant number, since it is smaller than the sum of its proper divisors (13183786657440).

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

3770440138080 is a wasteful number, since it uses less digits than its factorization.

3770440138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20052 (or 20019 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 3770440138080 in words is "three trillion, seven hundred seventy billion, four hundred forty million, one hundred thirty-eight thousand, eighty".