36949680 has 240 divisors, whose sum is σ = 135988320. Its totient is φ = 8957952.

The previous prime is 36949667. The next prime is 36949697. The reversal of 36949680 is 8694963.

36949680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506124 + ... + 506196.

It is an arithmetic number, because the mean of its divisors is an integer number (566618).

Almost surely, 2^36949680 is an apocalyptic number.

36949680 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 36949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67994160).

36949680 is an abundant number, since it is smaller than the sum of its proper divisors (99038640).

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

36949680 is a wasteful number, since it uses less digits than its factorization.

36949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 36949680 is about 6078.6248444858. The cubic root of 36949680 is about 333.0710559080.

The spelling of 36949680 in words is "thirty-six million, nine hundred forty-nine thousand, six hundred eighty".