364121912 has 192 divisors, whose sum is σ = 948024000. Its totient is φ = 127733760.

The previous prime is 364121911. The next prime is 364121959. The reversal of 364121912 is 219121463.

364121912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364121911) 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, 3340514 + ... + 3340622.

It is an arithmetic number, because the mean of its divisors is an integer number (4937625).

Almost surely, 2^364121912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364121912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474012000).

364121912 is an abundant number, since it is smaller than the sum of its proper divisors (583902088).

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

364121912 is a wasteful number, since it uses less digits than its factorization.

364121912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 364121912 is about 19081.9787233924. The cubic root of 364121912 is about 714.0834013998.

The spelling of 364121912 in words is "three hundred sixty-four million, one hundred twenty-one thousand, nine hundred twelve".