361113760 has 96 divisors (see below), whose sum is σ = 978469632. Its totient is φ = 123371520.

The previous prime is 361113743. The next prime is 361113787. The reversal of 361113760 is 67311163.

It is a super-2 number, since 2×361113760² = 260806295322675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563040 + ... + 563680.

It is an arithmetic number, because the mean of its divisors is an integer number (10192392).

Almost surely, 2^361113760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489234816).

361113760 is an abundant number, since it is smaller than the sum of its proper divisors (617355872).

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

361113760 is a wasteful number, since it uses less digits than its factorization.

361113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 361113760 is about 19002.9934484018. The cubic root of 361113760 is about 712.1115214784. Note that the first 3 decimals are identical.

It can be divided in two parts, 3611 and 13760, that added together give a palindrome (17371).

The spelling of 361113760 in words is "three hundred sixty-one million, one hundred thirteen thousand, seven hundred sixty".