377975040 has 144 divisors (see below), whose sum is σ = 1215019008. Its totient is φ = 100139008.

The previous prime is 377975029. The next prime is 377975041. The reversal of 377975040 is 40579773.

It is a junction number, because it is equal to n+sod(n) for n = 377974983 and 377975001.

It is not an unprimeable number, because it can be changed into a prime (377975041) 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 15 ways as a sum of consecutive naturals, for example, 986689 + ... + 987071.

It is an arithmetic number, because the mean of its divisors is an integer number (8437632).

Almost surely, 2^377975040 is an apocalyptic number.

377975040 is a gapful number since it is divisible by the number (30) 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 377975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607509504).

377975040 is an abundant number, since it is smaller than the sum of its proper divisors (837043968).

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

377975040 is a wasteful number, since it uses less digits than its factorization.

377975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The square root of 377975040 is about 19441.5801826909. The cubic root of 377975040 is about 723.0267643121.

The spelling of 377975040 in words is "three hundred seventy-seven million, nine hundred seventy-five thousand, forty".