377680356 has 81 divisors (see below), whose sum is σ = 991088553. Its totient is φ = 121268160.

The previous prime is 377680351. The next prime is 377680357. The reversal of 377680356 is 653086773.

The square root of 377680356 is 19434.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18198756 + 359481600 = 4266^2 + 18960^2 .

It is not an unprimeable number, because it can be changed into a prime (377680351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4780725 + ... + 4780803.

Almost surely, 2^377680356 is an apocalyptic number.

377680356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

377680356 is the 19434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377680356

377680356 is an abundant number, since it is smaller than the sum of its proper divisors (613408197).

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

377680356 is a wasteful number, since it uses less digits than its factorization.

377680356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The cubic root of 377680356 is about 722.8388155575.

The spelling of 377680356 in words is "three hundred seventy-seven million, six hundred eighty thousand, three hundred fifty-six".