377738640 has 320 divisors, whose sum is σ = 1405624320. Its totient is φ = 94058496.

The previous prime is 377738597. The next prime is 377738651. The reversal of 377738640 is 46837773.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2974257 + ... + 2974383.

It is an arithmetic number, because the mean of its divisors is an integer number (4392576).

Almost surely, 2^377738640 is an apocalyptic number.

377738640 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 377738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702812160).

377738640 is an abundant number, since it is smaller than the sum of its proper divisors (1027885680).

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

377738640 is a wasteful number, since it uses less digits than its factorization.

377738640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 377738640 is about 19435.4994790461. The cubic root of 377738640 is about 722.8759967080.

The spelling of 377738640 in words is "three hundred seventy-seven million, seven hundred thirty-eight thousand, six hundred forty".