377871648 has 384 divisors, whose sum is σ = 1365590016. Its totient is φ = 88473600.

The previous prime is 377871643. The next prime is 377871701. The reversal of 377871648 is 846178773.

It is a Harshad number since it is a multiple of its sum of digits (51).

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

Its product of digits (1580544) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 377871648.

It is not an unprimeable number, because it can be changed into a prime (377871643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3895536 + ... + 3895632.

It is an arithmetic number, because the mean of its divisors is an integer number (3556224).

Almost surely, 2^377871648 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 377871648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682795008).

377871648 is an abundant number, since it is smaller than the sum of its proper divisors (987718368).

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

377871648 is a wasteful number, since it uses less digits than its factorization.

377871648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 51.

The square root of 377871648 is about 19438.9209577075. The cubic root of 377871648 is about 722.9608322685.

The spelling of 377871648 in words is "three hundred seventy-seven million, eight hundred seventy-one thousand, six hundred forty-eight".