36346240 has 192 divisors, whose sum is σ = 108140400. Its totient is φ = 11612160.

The previous prime is 36346207. The next prime is 36346273. The reversal of 36346240 is 4264363.

It is an interprime number because it is at equal distance from previous prime (36346207) and next prime (36346273).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 36346199 and 36346208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595810 + ... + 595870.

Almost surely, 2^36346240 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 36346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54070200).

36346240 is an abundant number, since it is smaller than the sum of its proper divisors (71794160).

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

36346240 is a wasteful number, since it uses less digits than its factorization.

36346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 36346240 is about 6028.7842887269. The cubic root of 36346240 is about 331.2479226166.

The spelling of 36346240 in words is "thirty-six million, three hundred forty-six thousand, two hundred forty".