377933472 has 288 divisors, whose sum is σ = 1309996800. Its totient is φ = 105670656.

The previous prime is 377933453. The next prime is 377933519. The reversal of 377933472 is 274339773.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3344488 + ... + 3344600.

It is an arithmetic number, because the mean of its divisors is an integer number (4548600).

Almost surely, 2^377933472 is an apocalyptic number.

377933472 is a gapful number since it is divisible by the number (32) 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 377933472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654998400).

377933472 is an abundant number, since it is smaller than the sum of its proper divisors (932063328).

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

377933472 is a wasteful number, since it uses less digits than its factorization.

377933472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its digits is 666792, while the sum is 45.

The square root of 377933472 is about 19440.5111043923. The cubic root of 377933472 is about 723.0002582599. Note that the first 3 decimals are identical.

The spelling of 377933472 in words is "three hundred seventy-seven million, nine hundred thirty-three thousand, four hundred seventy-two".