365741640 has 192 divisors, whose sum is σ = 1365249600. Its totient is φ = 83980800.

The previous prime is 365741609. The next prime is 365741647. The reversal of 365741640 is 46147563.

It is a happy number.

365741640 is a `hidden beast` number, since 3 + 6 + 5 + 7 + 4 + 1 + 640 = 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 = 365741595 and 365741604.

It is not an unprimeable number, because it can be changed into a prime (365741647) 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 47 ways as a sum of consecutive naturals, for example, 72810 + ... + 77670.

It is an arithmetic number, because the mean of its divisors is an integer number (7110675).

Almost surely, 2^365741640 is an apocalyptic number.

365741640 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 365741640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682624800).

365741640 is an abundant number, since it is smaller than the sum of its proper divisors (999507960).

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

365741640 is a wasteful number, since it uses less digits than its factorization.

365741640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 365741640 is about 19124.3729308963. The cubic root of 365741640 is about 715.1406572837.

The spelling of 365741640 in words is "three hundred sixty-five million, seven hundred forty-one thousand, six hundred forty".