369948960 has 144 divisors (see below), whose sum is σ = 1269777600. Its totient is φ = 98081280.

The previous prime is 369948959. The next prime is 369948967. The reversal of 369948960 is 69849963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 369948897 and 369948906.

It is not an unprimeable number, because it can be changed into a prime (369948967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285915 + ... + 287205.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2^369948960 is an apocalyptic number.

369948960 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 369948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634888800).

369948960 is an abundant number, since it is smaller than the sum of its proper divisors (899828640).

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

369948960 is a wasteful number, since it uses less digits than its factorization.

369948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 369948960 is about 19234.0572942892. The cubic root of 369948960 is about 717.8724229740.

It can be divided in two parts, 36994 and 8960, that added together give a palindrome (45954).

The spelling of 369948960 in words is "three hundred sixty-nine million, nine hundred forty-eight thousand, nine hundred sixty".