377115648 has 352 divisors, whose sum is σ = 1320560640. Its totient is φ = 92897280.

The previous prime is 377115637. The next prime is 377115649. The reversal of 377115648 is 846511773.

It is a super-3 number, since 3×377115648³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377115649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5311453 + ... + 5311523.

Almost surely, 2^377115648 is an apocalyptic number.

377115648 is a gapful number since it is divisible by the number (38) 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 377115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660280320).

377115648 is an abundant number, since it is smaller than the sum of its proper divisors (943444992).

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

377115648 is a wasteful number, since it uses less digits than its factorization.

377115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 377115648 is about 19419.4656981082. The cubic root of 377115648 is about 722.4783727757.

The spelling of 377115648 in words is "three hundred seventy-seven million, one hundred fifteen thousand, six hundred forty-eight".