377997312 has 384 divisors, whose sum is σ = 1358622720. Its totient is φ = 90439680.

The previous prime is 377997311. The next prime is 377997337. The reversal of 377997312 is 213799773.

377997312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (377997311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8042473 + ... + 8042519.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^377997312 is an apocalyptic number.

377997312 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 377997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

377997312 is an abundant number, since it is smaller than the sum of its proper divisors (980625408).

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

377997312 is a wasteful number, since it uses less digits than its factorization.

377997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its digits is 500094, while the sum is 48.

The square root of 377997312 is about 19442.1529671999. The cubic root of 377997312 is about 723.0409653696.

The spelling of 377997312 in words is "three hundred seventy-seven million, nine hundred ninety-seven thousand, three hundred twelve".