377487360 has 144 divisors (see below), whose sum is σ = 1308622770. Its totient is φ = 100663296.

The previous prime is 377487343. The next prime is 377487361. The reversal of 377487360 is 63784773.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)¹⁹.

It can be written as a sum of positive squares in only one way, i.e., 339738624 + 37748736 = 18432^2 + 6144^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (377487361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75497470 + ... + 75497474.

Almost surely, 2^377487360 is an apocalyptic number.

377487360 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 377487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654311385).

377487360 is an abundant number, since it is smaller than the sum of its proper divisors (931135410).

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

377487360 is an frugal number, since it uses more digits than its factorization.

377487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 377487360 is about 19429.0339440745. The cubic root of 377487360 is about 722.7156701806.

377487360 divided by its sum of digits (45) gives a 23-rd power (8388608 = 2²³).

The spelling of 377487360 in words is "three hundred seventy-seven million, four hundred eighty-seven thousand, three hundred sixty".