377775630336 has 384 divisors, whose sum is σ = 1125744721920. Its totient is φ = 111874867200.

The previous prime is 377775630289. The next prime is 377775630373. The reversal of 377775630336 is 633036577773.

It is a happy number.

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

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671004391 + ... + 671004953.

It is an arithmetic number, because the mean of its divisors is an integer number (2931626880).

Almost surely, 2^377775630336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377775630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562872360960).

377775630336 is an abundant number, since it is smaller than the sum of its proper divisors (747969091584).

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

377775630336 is a wasteful number, since it uses less digits than its factorization.

377775630336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 35006580, while the sum is 57.

The spelling of 377775630336 in words is "three hundred seventy-seven billion, seven hundred seventy-five million, six hundred thirty thousand, three hundred thirty-six".