377820438240 has 384 divisors, whose sum is σ = 1395291598848. Its totient is φ = 84133969920.

The previous prime is 377820438227. The next prime is 377820438253. The reversal of 377820438240 is 42834028773.

It is a Cunningham number, because it is equal to 614671²-1.

It is an interprime number because it is at equal distance from previous prime (377820438227) and next prime (377820438253).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 377820438240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129079657 + ... + 129082583.

It is an arithmetic number, because the mean of its divisors is an integer number (3633571872).

Almost surely, 2^377820438240 is an apocalyptic number.

377820438240 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 377820438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697645799424).

377820438240 is an abundant number, since it is smaller than the sum of its proper divisors (1017471160608).

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

377820438240 is a wasteful number, since it uses less digits than its factorization.

377820438240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 377820438240 in words is "three hundred seventy-seven billion, eight hundred twenty million, four hundred thirty-eight thousand, two hundred forty".