377945568 has 768 divisors, whose sum is σ = 1625702400. Its totient is φ = 82114560.

The previous prime is 377945527. The next prime is 377945573. The reversal of 377945568 is 865549773.

377945568 is a `hidden beast` number, since 3 + 7 + 79 + 4 + 5 + 568 = 666.

377945568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16432405 + ... + 16432427.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^377945568 is an apocalyptic number.

377945568 is a gapful number since it is divisible by the number (38) 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 377945568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

377945568 is an abundant number, since it is smaller than the sum of its proper divisors (1247756832).

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

377945568 is a wasteful number, since it uses less digits than its factorization.

377945568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 377945568 is about 19440.8222048349. The cubic root of 377945568 is about 723.0079715379.

The spelling of 377945568 in words is "three hundred seventy-seven million, nine hundred forty-five thousand, five hundred sixty-eight".