377968200 has 192 divisors, whose sum is σ = 1245456000. Its totient is φ = 94617600.

The previous prime is 377968193. The next prime is 377968211. The reversal of 377968200 is 2869773.

It is a super-2 number, since 2×377968200² = 285719920422480000, which contains 22 as substring.

It is an unprimeable number.

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, 841576 + ... + 842024.

It is an arithmetic number, because the mean of its divisors is an integer number (6486750).

Almost surely, 2^377968200 is an apocalyptic number.

377968200 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 377968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622728000).

377968200 is an abundant number, since it is smaller than the sum of its proper divisors (867487800).

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

377968200 is a wasteful number, since it uses less digits than its factorization.

377968200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 377968200 is about 19441.4042702681. The cubic root of 377968200 is about 723.0224028840.

The spelling of 377968200 in words is "three hundred seventy-seven million, nine hundred sixty-eight thousand, two hundred".