36354120 has 64 divisors (see below), whose sum is σ = 118981440. Its totient is φ = 8812800.

The previous prime is 36354119. The next prime is 36354121. The reversal of 36354120 is 2145363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36354119) and next prime (36354121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (36354121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12451 + ... + 15090.

It is an arithmetic number, because the mean of its divisors is an integer number (1859085).

Almost surely, 2^36354120 is an apocalyptic number.

36354120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36354120 is an abundant number, since it is smaller than the sum of its proper divisors (82627320).

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

36354120 is a wasteful number, since it uses less digits than its factorization.

36354120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27566 (or 27562 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36354120 is about 6029.4377847358. The cubic root of 36354120 is about 331.2718594807.

Adding to 36354120 its reverse (2145363), we get a palindrome (38499483).

The spelling of 36354120 in words is "thirty-six million, three hundred fifty-four thousand, one hundred twenty".