36498240 has 336 divisors, whose sum is σ = 142646400. Its totient is φ = 8515584.

The previous prime is 36498239. The next prime is 36498257. The reversal of 36498240 is 4289463.

It is a happy number.

36498240 is a `hidden beast` number, since 3 + 649 + 8 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 36498195 and 36498204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258546 + ... + 1258574.

Almost surely, 2^36498240 is an apocalyptic number.

36498240 is a gapful number since it is divisible by the number (30) 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 36498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71323200).

36498240 is an abundant number, since it is smaller than the sum of its proper divisors (106148160).

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

36498240 is a wasteful number, since it uses less digits than its factorization.

36498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36498240 is about 6041.3773264050. The cubic root of 36498240 is about 331.7090400929.

The spelling of 36498240 in words is "thirty-six million, four hundred ninety-eight thousand, two hundred forty".