377020560400 has 135 divisors (see below), whose sum is σ = 995979351549. Its totient is φ = 137049264000.

The previous prime is 377020560383. The next prime is 377020560401. The reversal of 377020560400 is 4065020773.

It is a happy number.

The square root of 377020560400 is 614020.

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., 135727401744 + 241293158656 = 368412^2 + 491216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (377020560401) 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, 135083005 + ... + 135085795.

Almost surely, 2^377020560400 is an apocalyptic number.

377020560400 is the 614020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377020560400

377020560400 is an abundant number, since it is smaller than the sum of its proper divisors (618958791149).

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

377020560400 is an equidigital number, since it uses as much as digits as its factorization.

377020560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The spelling of 377020560400 in words is "three hundred seventy-seven billion, twenty million, five hundred sixty thousand, four hundred".