361349640 has 256 divisors, whose sum is σ = 1277337600. Its totient is φ = 90720000.

The previous prime is 361349633. The next prime is 361349641. The reversal of 361349640 is 46943163.

361349640 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 4 + 9 + 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 = 361349595 and 361349604.

It is not an unprimeable number, because it can be changed into a prime (361349641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1439515 + ... + 1439765.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^361349640 is an apocalyptic number.

361349640 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 361349640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638668800).

361349640 is an abundant number, since it is smaller than the sum of its proper divisors (915987960).

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

361349640 is a wasteful number, since it uses less digits than its factorization.

361349640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 361349640 is about 19009.1988258317. The cubic root of 361349640 is about 712.2665384696.

The spelling of 361349640 in words is "three hundred sixty-one million, three hundred forty-nine thousand, six hundred forty".