377364240 has 480 divisors, whose sum is σ = 1504189440. Its totient is φ = 83865600.

The previous prime is 377364227. The next prime is 377364257. The reversal of 377364240 is 42463773.

It is a happy number.

377364240 is a `hidden beast` number, since 3 + 7 + 7 + 3 + 642 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 377364195 and 377364204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7120054 + ... + 7120106.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^377364240 is an apocalyptic number.

377364240 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 377364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752094720).

377364240 is an abundant number, since it is smaller than the sum of its proper divisors (1126825200).

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

377364240 is a wasteful number, since it uses less digits than its factorization.

377364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 377364240 is about 19425.8652316956. The cubic root of 377364240 is about 722.6370888042.

The spelling of 377364240 in words is "three hundred seventy-seven million, three hundred sixty-four thousand, two hundred forty".