377346144 has 288 divisors, whose sum is σ = 1262580480. Its totient is φ = 96509952.

The previous prime is 377346139. The next prime is 377346163. The reversal of 377346144 is 441643773.

377346144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×377346144² = 284780224783337472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5631999 + ... + 5632065.

It is an arithmetic number, because the mean of its divisors is an integer number (4383960).

Almost surely, 2^377346144 is an apocalyptic number.

377346144 is a gapful number since it is divisible by the number (34) 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 377346144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631290240).

377346144 is an abundant number, since it is smaller than the sum of its proper divisors (885234336).

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

377346144 is a wasteful number, since it uses less digits than its factorization.

377346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 377346144 is about 19425.3994553523. The cubic root of 377346144 is about 722.6255375863.

The spelling of 377346144 in words is "three hundred seventy-seven million, three hundred forty-six thousand, one hundred forty-four".