36503040 has 240 divisors, whose sum is σ = 137147472. Its totient is φ = 8257536.

The previous prime is 36503039. The next prime is 36503059. The reversal of 36503040 is 4030563.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 36502998 and 36503016.

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 23 ways as a sum of consecutive naturals, for example, 376272 + ... + 376368.

Almost surely, 2^36503040 is an apocalyptic number.

36503040 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 36503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68573736).

36503040 is an abundant number, since it is smaller than the sum of its proper divisors (100644432).

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

36503040 is an equidigital number, since it uses as much as digits as its factorization.

36503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 36503040 is about 6041.7745737490. The cubic root of 36503040 is about 331.7235808269.

The spelling of 36503040 in words is "thirty-six million, five hundred three thousand, forty".