361384740 has 288 divisors, whose sum is σ = 1228421376. Its totient is φ = 88957440.

The previous prime is 361384729. The next prime is 361384741. The reversal of 361384740 is 47483163.

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 = 361384695 and 361384704.

It is not an unprimeable number, because it can be changed into a prime (361384741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5924310 + ... + 5924370.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^361384740 is an apocalyptic number.

361384740 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 361384740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614210688).

361384740 is an abundant number, since it is smaller than the sum of its proper divisors (867036636).

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

361384740 is a wasteful number, since it uses less digits than its factorization.

361384740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 361384740 is about 19010.1220406393. The cubic root of 361384740 is about 712.2895999252.

The spelling of 361384740 in words is "three hundred sixty-one million, three hundred eighty-four thousand, seven hundred forty".