377296416 has 288 divisors, whose sum is σ = 1308303360. Its totient is φ = 100818432.

The previous prime is 377296399. The next prime is 377296417. The reversal of 377296416 is 614692773.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377296417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3663021 + ... + 3663123.

It is an arithmetic number, because the mean of its divisors is an integer number (4542720).

Almost surely, 2^377296416 is an apocalyptic number.

377296416 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 377296416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654151680).

377296416 is an abundant number, since it is smaller than the sum of its proper divisors (931006944).

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

377296416 is a wasteful number, since it uses less digits than its factorization.

377296416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 377296416 is about 19424.1194395010. The cubic root of 377296416 is about 722.5937928147.

The spelling of 377296416 in words is "three hundred seventy-seven million, two hundred ninety-six thousand, four hundred sixteen".