368871552 has 192 divisors, whose sum is σ = 1225224000. Its totient is φ = 104343552.

The previous prime is 368871533. The next prime is 368871577. The reversal of 368871552 is 255178863.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 368871498 and 368871507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1201383 + ... + 1201689.

It is an arithmetic number, because the mean of its divisors is an integer number (6381375).

Almost surely, 2^368871552 is an apocalyptic number.

368871552 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 368871552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612612000).

368871552 is an abundant number, since it is smaller than the sum of its proper divisors (856352448).

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

368871552 is a wasteful number, since it uses less digits than its factorization.

368871552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 368871552 is about 19206.0290533988. The cubic root of 368871552 is about 717.1748550863.

The spelling of 368871552 in words is "three hundred sixty-eight million, eight hundred seventy-one thousand, five hundred fifty-two".