380041677792 has 576 divisors, whose sum is σ = 1365637190400. Its totient is φ = 102236359680.

The previous prime is 380041677707. The next prime is 380041677797. The reversal of 380041677792 is 297776140083.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380041677797) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139157067 + ... + 139159797.

It is an arithmetic number, because the mean of its divisors is an integer number (2370897900).

Almost surely, 2^380041677792 is an apocalyptic number.

380041677792 is a gapful number since it is divisible by the number (32) 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 380041677792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682818595200).

380041677792 is an abundant number, since it is smaller than the sum of its proper divisors (985595512608).

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

380041677792 is a wasteful number, since it uses less digits than its factorization.

380041677792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 380041677792 in words is "three hundred eighty billion, forty-one million, six hundred seventy-seven thousand, seven hundred ninety-two".