3777044070096 has 120 divisors (see below), whose sum is σ = 11540299811040. Its totient is φ = 1143678432000.

The previous prime is 3777044070091. The next prime is 3777044070109. The reversal of 3777044070096 is 6900704407773.

It is a super-2 number, since 2×3777044070096² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3777044070091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144375 + ... + 2977193.

It is an arithmetic number, because the mean of its divisors is an integer number (96169165092).

Almost surely, 2^{3777044070096} is an apocalyptic number.

3777044070096 is a gapful number since it is divisible by the number (36) 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 3777044070096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770149905520).

3777044070096 is an abundant number, since it is smaller than the sum of its proper divisors (7763255740944).

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

3777044070096 is a wasteful number, since it uses less digits than its factorization.

3777044070096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834145 (or 1834136 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 3777044070096 in words is "three trillion, seven hundred seventy-seven billion, forty-four million, seventy thousand, ninety-six".