36942480 has 100 divisors (see below), whose sum is σ = 128329212. Its totient is φ = 9849600.

The previous prime is 36942457. The next prime is 36942481. The reversal of 36942480 is 8424963.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 14017536 = 4788^2 + 3744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36942481) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3630 + ... + 9330.

Almost surely, 2^36942480 is an apocalyptic number.

36942480 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 36942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64164606).

36942480 is an abundant number, since it is smaller than the sum of its proper divisors (91386732).

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

36942480 is a wasteful number, since it uses less digits than its factorization.

36942480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5711 counting only the distinct ones).

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

The square root of 36942480 is about 6078.0325764181. The cubic root of 36942480 is about 333.0494204713.

It can be divided in two parts, 369 and 42480, that added together give a square (42849 = 207²).

The spelling of 36942480 in words is "thirty-six million, nine hundred forty-two thousand, four hundred eighty".