369961344 has 160 divisors (see below), whose sum is σ = 1166319000. Its totient is φ = 116011008.

The previous prime is 369961343. The next prime is 369961351. The reversal of 369961344 is 443169963.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 369961344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369961343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175207 + ... + 177305.

Almost surely, 2^369961344 is an apocalyptic number.

369961344 is a gapful number since it is divisible by the number (34) 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 369961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583159500).

369961344 is an abundant number, since it is smaller than the sum of its proper divisors (796357656).

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

369961344 is a wasteful number, since it uses less digits than its factorization.

369961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2121 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 369961344 is about 19234.3792205519. The cubic root of 369961344 is about 717.8804331176.

The spelling of 369961344 in words is "three hundred sixty-nine million, nine hundred sixty-one thousand, three hundred forty-four".