3779083027720 has 384 divisors, whose sum is σ = 11796805681920. Its totient is φ = 1052204083200.

The previous prime is 3779083027649. The next prime is 3779083027781. The reversal of 3779083027720 is 277203809773.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 38429334 + ... + 38527546.

It is an arithmetic number, because the mean of its divisors is an integer number (30720848130).

Almost surely, 2^{3779083027720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3779083027720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898402840960).

3779083027720 is an abundant number, since it is smaller than the sum of its proper divisors (8017722654200).

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

3779083027720 is a wasteful number, since it uses less digits than its factorization.

3779083027720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98317 (or 98282 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 55.

The spelling of 3779083027720 in words is "three trillion, seven hundred seventy-nine billion, eighty-three million, twenty-seven thousand, seven hundred twenty".