367881696 has 192 divisors, whose sum is σ = 1320883200. Its totient is φ = 97003008.

The previous prime is 367881691. The next prime is 367881763. The reversal of 367881696 is 696188763.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (367881691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76285 + ... + 80963.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^367881696 is an apocalyptic number.

367881696 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 367881696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

367881696 is an abundant number, since it is smaller than the sum of its proper divisors (953001504).

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

367881696 is a wasteful number, since it uses less digits than its factorization.

367881696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4704 counting only the distinct ones).

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

The square root of 367881696 is about 19180.2423342355. The cubic root of 367881696 is about 716.5327745062.

The spelling of 367881696 in words is "three hundred sixty-seven million, eight hundred eighty-one thousand, six hundred ninety-six".