368496624 has 80 divisors (see below), whose sum is σ = 1011149568. Its totient is φ = 115239936.

The previous prime is 368496617. The next prime is 368496629. The reversal of 368496624 is 426694863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368496629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380589 + ... + 381555.

Almost surely, 2^368496624 is an apocalyptic number.

368496624 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 368496624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505574784).

368496624 is an abundant number, since it is smaller than the sum of its proper divisors (642652944).

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

368496624 is a wasteful number, since it uses less digits than its factorization.

368496624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 368496624 is about 19196.2658868854. The cubic root of 368496624 is about 716.9317893675.

The spelling of 368496624 in words is "three hundred sixty-eight million, four hundred ninety-six thousand, six hundred twenty-four".