368007552 has 192 divisors, whose sum is σ = 1170009360. Its totient is φ = 110100480.

The previous prime is 368007533. The next prime is 368007553. The reversal of 368007552 is 255700863.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368007553) 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, 1431808 + ... + 1432064.

Almost surely, 2^368007552 is an apocalyptic number.

368007552 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 368007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585004680).

368007552 is an abundant number, since it is smaller than the sum of its proper divisors (802001808).

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

368007552 is a wasteful number, since it uses less digits than its factorization.

368007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 368007552 is about 19183.5229298479. The cubic root of 368007552 is about 716.6144761946.

The spelling of 368007552 in words is "three hundred sixty-eight million, seven thousand, five hundred fifty-two".