369952414272 has 336 divisors, whose sum is σ = 1224397238272. Its totient is φ = 104613949440.

The previous prime is 369952414259. The next prime is 369952414283. The reversal of 369952414272 is 272414259963.

It is a happy number.

369952414272 is a `hidden beast` number, since 3 + 6 + 9 + 9 + 524 + 1 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338473758 + ... + 338474850.

Almost surely, 2^369952414272 is an apocalyptic number.

369952414272 is a gapful number since it is divisible by the number (32) 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 369952414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612198619136).

369952414272 is an abundant number, since it is smaller than the sum of its proper divisors (854444824000).

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

369952414272 is a wasteful number, since it uses less digits than its factorization.

369952414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1893 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 369952414272 in words is "three hundred sixty-nine billion, nine hundred fifty-two million, four hundred fourteen thousand, two hundred seventy-two".