377349120 has 264 divisors, whose sum is σ = 1379514240. Its totient is φ = 95109120.

The previous prime is 377349113. The next prime is 377349127. The reversal of 377349120 is 21943773.

It is an interprime number because it is at equal distance from previous prime (377349113) and next prime (377349127).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (377349127) 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 23 ways as a sum of consecutive naturals, for example, 875305 + ... + 875735.

Almost surely, 2^377349120 is an apocalyptic number.

377349120 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 377349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689757120).

377349120 is an abundant number, since it is smaller than the sum of its proper divisors (1002165120).

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

377349120 is a wasteful number, since it uses less digits than its factorization.

377349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 377349120 is about 19425.4760559426. The cubic root of 377349120 is about 722.6274372814.

The spelling of 377349120 in words is "three hundred seventy-seven million, three hundred forty-nine thousand, one hundred twenty".