377413344 has 480 divisors, whose sum is σ = 1451907072. Its totient is φ = 93312000.

The previous prime is 377413343. The next prime is 377413349. The reversal of 377413344 is 443314773.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 377413299 and 377413308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377413343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6187074 + ... + 6187134.

Almost surely, 2^377413344 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 377413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725953536).

377413344 is an abundant number, since it is smaller than the sum of its proper divisors (1074493728).

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

377413344 is a wasteful number, since it uses less digits than its factorization.

377413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 377413344 is about 19427.1290725109. The cubic root of 377413344 is about 722.6684314955.

The spelling of 377413344 in words is "three hundred seventy-seven million, four hundred thirteen thousand, three hundred forty-four".