368879616 has 192 divisors, whose sum is σ = 1250121600. Its totient is φ = 105283584.

The previous prime is 368879593. The next prime is 368879647. The reversal of 368879616 is 616978863.

It is a happy number.

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

It is a super-2 number, since 2×368879616² = 272144342200614912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386596 + ... + 387548.

It is an arithmetic number, because the mean of its divisors is an integer number (6511050).

Almost surely, 2^368879616 is an apocalyptic number.

368879616 is a gapful number since it is divisible by the number (36) 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 368879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625060800).

368879616 is an abundant number, since it is smaller than the sum of its proper divisors (881241984).

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

368879616 is an equidigital number, since it uses as much as digits as its factorization.

368879616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 965 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 368879616 is about 19206.2389863294. The cubic root of 368879616 is about 717.1800811655.

The spelling of 368879616 in words is "three hundred sixty-eight million, eight hundred seventy-nine thousand, six hundred sixteen".