367121664 has 432 divisors, whose sum is σ = 1392797952. Its totient is φ = 90243072.

The previous prime is 367121633. The next prime is 367121669. The reversal of 367121664 is 466121763.

It is a happy number.

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

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

Its product of digits (36288) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (367121669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3564237 + ... + 3564339.

Almost surely, 2^367121664 is an apocalyptic number.

367121664 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 367121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696398976).

367121664 is an abundant number, since it is smaller than the sum of its proper divisors (1025676288).

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

367121664 is a wasteful number, since it uses less digits than its factorization.

367121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 367121664 is about 19160.4192020947. The cubic root of 367121664 is about 716.0389895853.

Subtracting 367121664 from its reverse (466121763), we obtain a palindrome (99000099).

The spelling of 367121664 in words is "three hundred sixty-seven million, one hundred twenty-one thousand, six hundred sixty-four".